The Problem® is one of public perception/branding. Hollywood has convinced the overwhelming preponderance of the population that airplanes on autopilot can taxi away from the terminal, navigate to the runway, avoid collisions with buildings, vehicles and other planes, line up on the runway, take off, navigate to the destination, line up with the correct runway from the correct direction, land the plane, and taxi to the final terminal.
Naming your not-fully-autonomous car driving software "autopilot" is going to have a perception problem. Educating the public after the fact is a hard battle.
If auto pilot in Tesla were used like auto pilots in modern commercial air travel, it would cover 95% of the operation time of the cars.
Edit: regarding the pilot who did the wrong thing, I don't think it's fair to say that he didn't know how to recover, either. He almost certainly knew how to recognize and recover from a stall. He was a glider pilot, where stalls are a matter of course. It seems that he panicked, which prevented him from thinking clearly and taking the proper actions. People do that sometimes, and a big reason you have two pilots is so the other one can step in when one of them gets stupid. The fatal flaw with the Airbus was the system which failed to adequately inform the other pilot of the first pilot's stupid actions. (In any sensibly designed aircraft, the two sets of controls will move together, providing physical feedback of each pilot's inputs to the other pilot.)
In addition to the warning light there is an audio warning "DUAL INPUT" and tactile feedback (stick vibration). The fact that the pilots did not recognize this condition feeds into my point about them not flying the plane nearly often enough to actually understand how it behaves in anything other than an ideal condition.
http://www.merriam-webster.com/dictionary/autonomous
3. Existing or capable of existing independently. But no its totes a public perception problem.
If I'm a bartender, and I tell a customer "this is a strong pour - it's literally cyanide!", and the customer drinks it, there is not a "he should have known the right definition of literally" defense.