Yes. An autopilot in a commercial passenger aircraft is fully capable of controlling the plane after takeoff, landing, and taxiing up to the destination gate.

Yes. An autopilot in a commercial passenger aircraft is fully capable of controlling the plane after takeoff, landing, and taxiing up to the destination gate. Or in other words, after takeoff, it is fully capable of controlling the plane without any input from the pilot. So, when Tesla advertises their cruise control as "autopilot" they are overstating the abilities of autopilot mode if they put in the fine print that a human actually is responsible for controlling the vehicle and that autopilot is just a glorified cruise control.