BUG: Remove special-casing for Python date objects in DatetimeIndex

Author: Aniketsy

pandas/core/indexes/base.py

@@ -6290,10 +6290,6 @@ def _should_compare(self, other: Index) -> bool:
             #  respectively.
             return False
 
-        # GH#62158
-        if self.dtype.kind == "M" and other.inferred_type == "date":
-            return False
-
         dtype = _unpack_nested_dtype(other)
         return (
             self._is_comparable_dtype(dtype)
@@ -6317,10 +6313,8 @@ def _is_comparable_dtype(self, dtype: DtypeObj) -> bool:
             if dtype.kind != "M":
                 if self.dtype.kind == "m" and pa.types.is_duration(pa_dtype):
                     return True
-                if self.dtype.kind == "O":
-                    return True
                 return False
-            if self.dtype.kind != "M" and self.dtype.kind != "O":
+            if self.dtype.kind != "M":
                 return False
             if pa.types.is_date(pa_dtype):
                 return False