“Autopilot” is literally an airplane term and refers to systems that can take-off, cruise, and land the plane even in many adverse conditions without any human input.
You are describing features available on a small minority of aircraft with autopilot features. The vast majority of aviation autopilot systems only control heading and basic flight stability.
Literally the opening paragraph of Wikipedia:
”An autopilot is a system used to control the trajectory of an aircraft, marine craft or spacecraft without requiring constant manual control by a human operator. Autopilots do not replace human operators. Instead, the autopilot assists the operator's control of the vehicle, allowing the operator to focus on broader aspects of operations (for example, monitoring the trajectory, weather and on-board systems).”
In the context of a software feature, "autopilot" implies a computer control system which is capable of maintaining rudimentary ongoing control of the vehicle.
Whereas a co-pilot is a whole other pilot. Surely that's worse, implying equivalence to a human sitting next to you, with comparable levels of training and skill, intuitively capable of taking over at any time. I wonder what would happen if Ford developed a system and called it "Co-pilot". We might never know.