Airplane autopilots are so simple they they can be implemented with entirely analog circuits. They are simple feedback control loops that operate off a single scalar variable in each axis.
There is ample time for the pilot to correct any “mistakes” the autopilot makes.
There is no expectation that the autopilot operates independently of the pilot’s supervision and judgement.
In terms of decision-making and autonomy and liability - an airplane autopilot is really analogous to cruise control in a car, nothing more. It operates the flight controls to maintain simple parameters chosen by the pilot, and that’s all.