Could the autopilot have rectified the flight path without any crew input on the Aeroflot Flight 593?
The PIC had given his seat and controls to his son (a visitor in the cockpit without any flight qualifications). The autopilot was in perfect control of the A310 until the son of the PIC had disengaged the automatic aileron control by applying sufficient control force. Up to a certain banking angle, fully engaging the AP would have resolved the problem. Without control over the ailerons, the AP could not recover the plane's attitude. The banking angle was out of the operating range, and the plane was not able to maintain its altitude.

Unfortunately, both pilots had trouble to become aware of the situation, and they also had a lack of understanding of the A310 controls. After fully disengaging the AP, the AP could not help with the lateral control any more.

This is very simplified, of course. A lot of elements contributed to this "accident". I recommend to read the Investigation report.