Have you flown on autopilot? It maintains speed, height and direction. It doesn't land or take off. Originally it couldn't even turn.
Sterile cockpit does not seem to apply at cruising altitude though, see https://en.wikipedia.org/wiki/Sterile_Cockpit_Rule: "The Sterile Cockpit Rule is a Federal Aviation Administration (FAA) regulation stating that during critical phases of flight (normally below 10,000 feet (3,050 m)), only activities required for the safe operation of the aircraft may be carried out, and all non-essential activities in the cockpit are forbidden."
So... a bit like a Tesla parking itself in some conditions?
Yeah. That's almost completely unlike a Tesla parking.