For list objects can simply use a membership test:
None in list_1
Like any(), the membership test on a list will scan all elements but short-circuit by returning as soon as a match is found.
any() returns True or False, never None, so your any(list_1) is None test is certainly not going anywhere. You’d have to pass in a generator expression for any() to iterate over, instead:
any(elem is None for elem in list_1)