ERR: improve setitem error message for DatetimeArray

pandas/core/arrays/datetimelike.py

@@ -625,15 +625,19 @@ def _validation_error_message(self, value, allow_listlike: bool = False) -> str:
         -------
         str
         """
+        if hasattr(value, "dtype") and getattr(value, "ndim", 0) > 0:
+            msg_got = f"{value.dtype} array"
+        else:
+            msg_got = f"'{type(value).__name__}'"
         if allow_listlike:
             msg = (
                 f"value should be a '{self._scalar_type.__name__}', 'NaT', "
-                f"or array of those. Got '{type(value).__name__}' instead."
+                f"or array of those. Got {msg_got} instead."
             )
         else:
             msg = (
                 f"value should be a '{self._scalar_type.__name__}' or 'NaT'. "
-                f"Got '{type(value).__name__}' instead."
+                f"Got {msg_got} instead."
             )
         return msg
 

pandas/tests/arrays/test_datetimelike.py

@@ -324,19 +324,12 @@ def test_searchsorted_castable_strings(self, arr1d, box, string_storage):
         ):
             arr.searchsorted("foo")
 
-        if string_storage == "python":
-            arr_type = "StringArray"
-        elif string_storage == "pyarrow":
-            arr_type = "ArrowStringArray"
-        else:
-            arr_type = "ArrowStringArrayNumpySemantics"
-
         with pd.option_context("string_storage", string_storage):
             with pytest.raises(
                 TypeError,
                 match=re.escape(
                     f"value should be a '{arr1d._scalar_type.__name__}', 'NaT', "
-                    f"or array of those. Got '{arr_type}' instead."
+                    "or array of those. Got string array instead."
                 ),
             ):
                 arr.searchsorted([str(arr[1]), "baz"])