[1] there are examples where this did not happen, but they're considered a failure.
Some can land, in optimal conditions, but can't taxi.
You can still use an autopilot when flying visually but then it's up to you to watch for traffic. This is using it like cruise control.
CMU is working on this (seriously).
Yes, perfectly fine. If Teslas autopilot can rely on external traffic control to provide that information, call it autopilot. As long as it can't don't.
If you put a plane on autopilot and then go read a book for some hours, most likely nothing bad is going to happen (particularly on IFR, but even on VFR, realistically).
Tesla's autopilot is more advanced than aircraft autopilots, I'd say, yet more dangerous (for now) because of all these darned cars and trucks and pedestrians.
In that sense, "Autopilot" was an unfortunate and overly ambitious name.