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FWIW, I agree with Antoine that Nullable Int is a misnomer.
Also, I don't buy into this mission to change signatures for optional ints into int-or-none. In particular, itertools.repeat() is fine as-is. Optional int APIs have been around for a long time, they work fine, and they really don't need to be changed. AFAICT, there is no real issue here that warrants changes to existing APIs.
>>> s = [10, 20, 30]
>>> s.pop(None)
Traceback (most recent call last):
 File "<pyshell#5>", line 1, in <module>
 s.pop(None)
TypeError: 'NoneType' object cannot be interpreted as an integer
>>> int('42', None)
Traceback (most recent call last):
 File "<pyshell#7>", line 1, in <module>
 int('42', None)
TypeError: 'NoneType' object cannot be interpreted as an integer