IMO "overriding" a method with itself should not change the behaviour. So it seems to me that the following is a bug:

        class C:
            def __init__(self, m):
                print(m)

        class D:
            @staticmethod
            def __new__(cls, *args, **kwargs):
                return super(__class__, __class__).__new__(cls, *args, **kwargs)

            def __init__(self, m):
                print(m)

        C(42) # fine
        D(42) # TypeError: object.__new__() takes exactly one argument

Of course such overriding makes little sense in itself, but forbidding it makes even less sense and creates bugs in more complex scenarios.