diff --git a/CHANGELOG.md b/CHANGELOG.md
index 4dfe9058..0b80ff81 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -32,6 +32,8 @@ and this project adheres to [Semantic Versioning](http://semver.org/).
   arguments for the `write` and `writelines` methods, as expected by their base class [`io.RawIOBase`](https://docs.python.org/3/library/io.html#io.RawIOBase).
 - Various documentation issues, including `MemoryFS` docstring not rendering properly.
 - Avoid creating a new connection on every call of `FTPFS.upload`. Closes [#455](https://github.com/PyFilesystem/pyfilesystem2/issues/455).
+- `WrapReadOnly.removetree` not raising a `ResourceReadOnly` when called. Closes [#468](https://github.com/PyFilesystem/pyfilesystem2/issues/468).
+- `WrapCachedDir.isdir` and `WrapCachedDir.isfile` raising a `ResourceNotFound` error on non-existing path ([#470](https://github.com/PyFilesystem/pyfilesystem2/pull/470)).
 
 
 ## [2.4.12] - 2021-01-14
diff --git a/fs/wrap.py b/fs/wrap.py
index 8685e9f6..3ae4aa9f 100644
--- a/fs/wrap.py
+++ b/fs/wrap.py
@@ -92,6 +92,22 @@ class WrapCachedDir(WrapFS[_F], typing.Generic[_F]):
 
     """
 
+    # FIXME (@althonos): The caching data structure can very likely be
+    # improved. With the current implementation, if `scandir` result was
+    # cached for `namespaces=["details", "access"]`, calling `scandir`
+    # again only with `names=["details"]` will miss the cache, even though
+    # we are already storing the totality of the required metadata.
+    #
+    # A possible solution would be to replaced the cached with a
+    #     Dict[Text, Dict[Text, Dict[Text, Info]]]
+    #           ^           ^         ^     ^-- the actual info object
+    #           |           |         \-- the path of the directory entry
+    #           |           \-- the namespace of the info
+    #           \-- the cached directory entry
+    #
+    # Furthermore, `listdir` and `filterdir` calls should be cached as well,
+    # since they can be written as wrappers of `scandir`.
+
     wrap_name = "cached-dir"
 
     def __init__(self, wrap_fs):  # noqa: D107
@@ -135,13 +151,17 @@ def getinfo(self, path, namespaces=None):
 
     def isdir(self, path):
         # type: (Text) -> bool
-        # FIXME(@althonos): this raises an error on non-existing file !
-        return self.getinfo(path).is_dir
+        try:
+            return self.getinfo(path).is_dir
+        except ResourceNotFound:
+            return False
 
     def isfile(self, path):
         # type: (Text) -> bool
-        # FIXME(@althonos): this raises an error on non-existing file !
-        return not self.getinfo(path).is_dir
+        try:
+            return not self.getinfo(path).is_dir
+        except ResourceNotFound:
+            return False
 
 
 class WrapReadOnly(WrapFS[_F], typing.Generic[_F]):
@@ -203,6 +223,11 @@ def removedir(self, path):
         self.check()
         raise ResourceReadOnly(path)
 
+    def removetree(self, path):
+        # type: (Text) -> None
+        self.check()
+        raise ResourceReadOnly(path)
+
     def setinfo(self, path, info):
         # type: (Text, RawInfo) -> None
         self.check()
diff --git a/tests/test_wrap.py b/tests/test_wrap.py
index 4d5cc8c4..89a91187 100644
--- a/tests/test_wrap.py
+++ b/tests/test_wrap.py
@@ -1,97 +1,219 @@
 from __future__ import unicode_literals
 
+import operator
 import unittest
 
-from fs import errors
+try:
+    from unittest import mock
+except ImportError:
+    import mock
+
+import six
+
+import fs.copy
+import fs.mirror
+import fs.move
+import fs.wrap
+import fs.errors
 from fs import open_fs
-from fs import wrap
+from fs.info import Info
 
 
-class TestWrap(unittest.TestCase):
-    def test_readonly(self):
-        mem_fs = open_fs("mem://")
-        fs = wrap.read_only(mem_fs)
+class TestWrapReadOnly(unittest.TestCase):
+    def setUp(self):
+        self.fs = open_fs("mem://")
+        self.ro = fs.wrap.read_only(self.fs)
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.open("foo", "w")
+    def tearDown(self):
+        self.fs.close()
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.appendtext("foo", "bar")
+    def assertReadOnly(self, func, *args, **kwargs):
+        self.assertRaises(fs.errors.ResourceReadOnly, func, *args, **kwargs)
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.appendbytes("foo", b"bar")
+    def test_open_w(self):
+        self.assertReadOnly(self.ro.open, "foo", "w")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.makedir("foo")
+    def test_appendtext(self):
+        self.assertReadOnly(self.ro.appendtext, "foo", "bar")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.move("foo", "bar")
+    def test_appendbytes(self):
+        self.assertReadOnly(self.ro.appendbytes, "foo", b"bar")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.openbin("foo", "w")
+    def test_makedir(self):
+        self.assertReadOnly(self.ro.makedir, "foo")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.remove("foo")
+    def test_move(self):
+        self.assertReadOnly(self.ro.move, "foo", "bar")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.removedir("foo")
+    def test_openbin_w(self):
+        self.assertReadOnly(self.ro.openbin, "foo", "w")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.setinfo("foo", {})
+    def test_remove(self):
+        self.assertReadOnly(self.ro.remove, "foo")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.settimes("foo", {})
+    def test_removedir(self):
+        self.assertReadOnly(self.ro.removedir, "foo")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.copy("foo", "bar")
+    def test_removetree(self):
+        self.assertReadOnly(self.ro.removetree, "foo")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.create("foo")
+    def test_setinfo(self):
+        self.assertReadOnly(self.ro.setinfo, "foo", {})
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.writetext("foo", "bar")
+    def test_settimes(self):
+        self.assertReadOnly(self.ro.settimes, "foo", {})
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.writebytes("foo", b"bar")
+    def test_copy(self):
+        self.assertReadOnly(self.ro.copy, "foo", "bar")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.makedirs("foo/bar")
+    def test_create(self):
+        self.assertReadOnly(self.ro.create, "foo")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.touch("foo")
+    def test_writetext(self):
+        self.assertReadOnly(self.ro.writetext, "foo", "bar")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.upload("foo", None)
+    def test_writebytes(self):
+        self.assertReadOnly(self.ro.writebytes, "foo", b"bar")
 
-        with self.assertRaises(errors.ResourceReadOnly):
-            fs.writefile("foo", None)
+    def test_makedirs(self):
+        self.assertReadOnly(self.ro.makedirs, "foo/bar")
 
-        self.assertTrue(mem_fs.isempty("/"))
-        mem_fs.writebytes("file", b"read me")
-        with fs.openbin("file") as read_file:
-            self.assertEqual(read_file.read(), b"read me")
+    def test_touch(self):
+        self.assertReadOnly(self.ro.touch, "foo")
 
-        with fs.open("file", "rb") as read_file:
-            self.assertEqual(read_file.read(), b"read me")
+    def test_upload(self):
+        self.assertReadOnly(self.ro.upload, "foo", six.BytesIO())
 
-    def test_cachedir(self):
-        mem_fs = open_fs("mem://")
-        mem_fs.makedirs("foo/bar/baz")
-        mem_fs.touch("egg")
+    def test_writefile(self):
+        self.assertReadOnly(self.ro.writefile, "foo", six.StringIO())
 
-        fs = wrap.cache_directory(mem_fs)
-        self.assertEqual(sorted(fs.listdir("/")), ["egg", "foo"])
-        self.assertEqual(sorted(fs.listdir("/")), ["egg", "foo"])
-        self.assertTrue(fs.isdir("foo"))
-        self.assertTrue(fs.isdir("foo"))
-        self.assertTrue(fs.isfile("egg"))
-        self.assertTrue(fs.isfile("egg"))
+    def test_openbin_r(self):
+        self.fs.writebytes("file", b"read me")
+        with self.ro.openbin("file") as read_file:
+            self.assertEqual(read_file.read(), b"read me")
 
-        self.assertEqual(fs.getinfo("foo"), mem_fs.getinfo("foo"))
-        self.assertEqual(fs.getinfo("foo"), mem_fs.getinfo("foo"))
+    def test_open_r(self):
+        self.fs.writebytes("file", b"read me")
+        with self.ro.open("file", "rb") as read_file:
+            self.assertEqual(read_file.read(), b"read me")
 
-        self.assertEqual(fs.getinfo("/"), mem_fs.getinfo("/"))
-        self.assertEqual(fs.getinfo("/"), mem_fs.getinfo("/"))
 
-        with self.assertRaises(errors.ResourceNotFound):
-            fs.getinfo("/foofoo")
+class TestWrapReadOnlySyspath(unittest.TestCase):
+    # If the wrapped fs has a syspath, there is a chance that somewhere
+    # in fs.copy or fs.mirror we try to use it to our advantage, but
+    # we want to make sure these implementations don't circumvent the
+    # wrapper.
+
+    def setUp(self):
+        self.fs = open_fs("temp://")
+        self.ro = fs.wrap.read_only(self.fs)
+        self.src = open_fs("temp://")
+        self.src.touch("foo")
+        self.src.makedir("bar")
+
+    def tearDown(self):
+        self.fs.close()
+        self.src.close()
+
+    def assertReadOnly(self, func, *args, **kwargs):
+        self.assertRaises(fs.errors.ResourceReadOnly, func, *args, **kwargs)
+
+    def test_copy_fs(self):
+        self.assertReadOnly(fs.copy.copy_fs, self.src, self.ro)
+
+    def test_copy_fs_if_newer(self):
+        self.assertReadOnly(fs.copy.copy_fs_if_newer, self.src, self.ro)
+
+    def test_copy_file(self):
+        self.assertReadOnly(fs.copy.copy_file, self.src, "foo", self.ro, "foo")
+
+    def test_copy_file_if_newer(self):
+        self.assertReadOnly(fs.copy.copy_file_if_newer, self.src, "foo", self.ro, "foo")
+
+    def test_copy_structure(self):
+        self.assertReadOnly(fs.copy.copy_structure, self.src, self.ro)
+
+    def test_mirror(self):
+        self.assertReadOnly(fs.mirror.mirror, self.src, self.ro)
+        fs.mirror.mirror(self.src, self.fs)
+        self.fs.touch("baz")
+        self.assertReadOnly(fs.mirror.mirror, self.src, self.ro)
+
+    def test_move_fs(self):
+        self.assertReadOnly(fs.move.move_fs, self.src, self.ro)
+        self.src.removetree("/")
+        self.fs.touch("foo")
+        self.assertReadOnly(fs.move.move_fs, self.ro, self.src)
+
+    def test_move_file(self):
+        self.assertReadOnly(fs.move.move_file, self.src, "foo", self.ro, "foo")
+        self.fs.touch("baz")
+        self.assertReadOnly(fs.move.move_file, self.ro, "baz", self.src, "foo")
+
+    def test_move_dir(self):
+        self.assertReadOnly(fs.move.move_file, self.src, "bar", self.ro, "bar")
+        self.fs.makedir("baz")
+        self.assertReadOnly(fs.move.move_dir, self.ro, "baz", self.src, "baz")
+
+
+class TestWrapCachedDir(unittest.TestCase):
+    def setUp(self):
+        self.fs = open_fs("mem://")
+        self.fs.makedirs("foo/bar/baz")
+        self.fs.touch("egg")
+        self.cached = fs.wrap.cache_directory(self.fs)
+
+    def tearDown(self):
+        self.fs.close()
+
+    def assertNotFound(self, func, *args, **kwargs):
+        self.assertRaises(fs.errors.ResourceNotFound, func, *args, **kwargs)
+
+    def test_scandir(self):
+        key = operator.attrgetter("name")
+        expected = [
+            Info({"basic": {"name": "egg", "is_dir": False}}),
+            Info({"basic": {"name": "foo", "is_dir": True}}),
+        ]
+        with mock.patch.object(self.fs, "scandir", wraps=self.fs.scandir) as scandir:
+            self.assertEqual(sorted(self.cached.scandir("/"), key=key), expected)
+            scandir.assert_has_calls([mock.call('/', namespaces=None, page=None)])
+        with mock.patch.object(self.fs, "scandir", wraps=self.fs.scandir) as scandir:
+            self.assertEqual(sorted(self.cached.scandir("/"), key=key), expected)
+            scandir.assert_not_called()
+
+    def test_isdir(self):
+        with mock.patch.object(self.fs, "scandir", wraps=self.fs.scandir) as scandir:
+            self.assertTrue(self.cached.isdir("foo"))
+            self.assertFalse(self.cached.isdir("egg"))  # is file
+            self.assertFalse(self.cached.isdir("spam"))  # doesn't exist
+            scandir.assert_has_calls([mock.call('/', namespaces=None, page=None)])
+        with mock.patch.object(self.fs, "scandir", wraps=self.fs.scandir) as scandir:
+            self.assertTrue(self.cached.isdir("foo"))
+            self.assertFalse(self.cached.isdir("egg"))
+            self.assertFalse(self.cached.isdir("spam"))
+            scandir.assert_not_called()
+
+    def test_isfile(self):
+        with mock.patch.object(self.fs, "scandir", wraps=self.fs.scandir) as scandir:
+            self.assertTrue(self.cached.isfile("egg"))
+            self.assertFalse(self.cached.isfile("foo"))  # is dir
+            self.assertFalse(self.cached.isfile("spam"))  # doesn't exist
+            scandir.assert_has_calls([mock.call('/', namespaces=None, page=None)])
+        with mock.patch.object(self.fs, "scandir", wraps=self.fs.scandir) as scandir:
+            self.assertTrue(self.cached.isfile("egg"))
+            self.assertFalse(self.cached.isfile("foo"))
+            self.assertFalse(self.cached.isfile("spam"))
+            scandir.assert_not_called()
+
+    def test_getinfo(self):
+        with mock.patch.object(self.fs, "scandir", wraps=self.fs.scandir) as scandir:
+            self.assertEqual(self.cached.getinfo("foo"), self.fs.getinfo("foo"))
+            self.assertEqual(self.cached.getinfo("/"), self.fs.getinfo("/"))
+            self.assertNotFound(self.cached.getinfo, "spam")
+            scandir.assert_has_calls([mock.call('/', namespaces=None, page=None)])
+        with mock.patch.object(self.fs, "scandir", wraps=self.fs.scandir) as scandir:
+            self.assertEqual(self.cached.getinfo("foo"), self.fs.getinfo("foo"))
+            self.assertEqual(self.cached.getinfo("/"), self.fs.getinfo("/"))
+            self.assertNotFound(self.cached.getinfo, "spam")
+            scandir.assert_not_called()