I find this to be the most important improvement in the safe use of Autopilot. Complacency in the use of automated systems on aircraft is one of the leading causes of accidents. And the actions/attitudes of the pilots is very similar, they believe that the aircraft can do a better job than they can (probably true) and that they don't have to engage or pay attention to their surroundings (definitely not true).
Not to detract from the above, and only an n of 1, but a former student with lots of experience flying under adverse conditions under contract with the CIA in Africa, for example, and up to and including 747 cargo experience believes he and others have the edge because they have vastly more experience and recent practice in actually landing the aircraft themselves, etc. The recent crash at SFO of I believe an asian owned airliner which had a glide path short of the beginning of the runway is probably the best example. Also, the mid atlantic crash of an airbus in a storm when the pitot tubes were iced up illustrates the point.
A lot of pilot error occurs not just because of alertness but also lack of practice in actually flying the aircraft. That suggests to me an occasional high speed run up a winding road once and a while to make sure we have the edge needed. Or, a simulator?