from https://docs.python.org/3/library/random.html#random.choice:

Return a random element from the non-empty sequence seq. If seq is empty, raises IndexError.

Indeed:
>>> import random
>>> random.choice([])
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/home/wolma/cpython/random.py", line 259, in choice
    raise IndexError('Cannot choose from an empty sequence') from None
IndexError: Cannot choose from an empty sequence

but when not using getrandbits internally:
>>> class MyRandom(random.Random):
...     def random(self):
...         return super().random()
... 
>>> my_random=MyRandom()
>>> my_random.choice([])
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/home/wolma/cpython/random.py", line 257, in choice
    i = self._randbelow(len(seq))
  File "/home/wolma/cpython/random.py", line 245, in _randbelow
    rem = maxsize % n
ZeroDivisionError: integer division or modulo by zero

This is because the ValueError that random.choice tries to catch gets raised only in the getrandbits-dependent branch of Random._randbelow, but not in the branch using only Random.random (even though Random._randbelow suggests uniform behaviour.