I believe it is type-specific. I may be wrong here, but if you’re in a Boeing aircraft your actions should override the autopilot momentarily before it returns to its parameters.
For longer actions, I believe the system will automatically disengage the system that controls the axis you manipulate; for example, if you pull up slightly for a second or two then let go, it should return to how it was before without disengaging. However, if you continue to pull back for longer and do so more aggressively, the pitch control system will disengage leaving you to control the pitch manually while roll control is still automated.
As for Airbus and the sidestick, I understand that moving this will do nothing to the automation… That is what the A320 captain who taught me ATPL instruments told me anyway haha!
Either way, these are, naturally, not modelled in Infinite Flight. It’s a good question though - please don’t take my word as gospel, I may well be incorrect!!