But I know that for instance there are plenty of alarms warning the pilots about the proximity to terrain.
Besides, there were excellent visibility conditions at the time of the accident so, even if the autopilot were able to drive the plane into ground, the pilots would have realized that not only by seeing the other instruments but looking through the window as well.
The available radar data also shows there's been a struggle to keep the airplane flying. An autopilot-controlled flight into terrain wouldn't show such pattern.
The MAX family has more powerful engines, and they are a bit projected ahead under the wings. This makes the plane susceptible to point its nose up during full throttle, which could lead to a stall.
This system shouldn't be confused with the regular autopilot. It plays a completely different role and, the way it's designed, it should engage only under very specific conditions.