Also, if the pilots input a heading change, the plane will execute a 1G turn using all control surfaces so it's almost imperceptible to the passengers.
I think you're oversimplifying airliner autopilot.. by a lot.
There is certainly no such thing as an auto-land system in which the pilots are not required to be ready to take full control of the aircraft at a moment's notice. It is Level 2 in the strictest sense.
If you are interested to read more
But the simple autopilots (think an old Cessna) don't even try to avoid the ground for you. If you set it and forget it, you may find yourself dead on a mountainside.
And low pressure zones.
There is a growing body of videos from dashcams (a feature enabled by another software update) on youtube showing Teslas avoiding collisions that would have been caused by other drivers being negligent.
The difficult part is decision-making in non-standard situations like Sully landing on the Hudson with his A320.
Clearly, with their naming of their system as autopilot rather than cruise control, Tesla is trying to imply that autopilot means something more. Namely, it means the driver / pilot can offload the work of routine driving / flying to the computer, only intervening in certain times (e.g. off0highway or takeoff / landing) or in the event of failures / extreme conditions.
Cruise control only enables the latter.