Woah, it has absolutely nothing to do with the autopilot at all. If you had flown an ILS by hand... well you get my point.
It all depends on the primary final approach aid used:
ILS, obviously go for ILS
VOR, VOR
NDB, NDB
Your eyes, Visual
Backcourse localizer, probably VOR in my view as it is most similar and the descent is done in the same way