Unfortunately it becomes a vicious circle where, regardless of company rules, there are captains so apprehensive of switching off the automatic pilot or flight director even if conditions are fine, that they refuse to allow their co-pilot permission to keep their hand in.
Indeed, and any regulator worth their salt should look at that kind of cockpit and get very worried for the long term future. And more importantly, what would the passengers think?
At the moment automation is used to a tremendous extent. Unfortunately, most of that automation relies on things external to the aircraft; GPS satellites, ILS transmitters, etc. None of those things supply a guaranteed service. When they go wrong, there's no guaranteed redundancy. And when they go wrong everybody is affected, not just a single aircraft.
That's why we have pilots in the front seats, but it's of little value unless they are proficient at flying and landing an aircraft with nothing but the resources of their own aircraft to help them. After all, it's for this very reason the aircraft themselves are carefully designed to have appropriate levels of redundancy.
A pilot flying a modern airliner (which presumably still has INS these days?) and with reasonable planning and meteorological data ought to be able to fly and land their aircraft somewhere without needing reception of any radio signal in any of the aircraft's systems. That's the basic essence of the aviation world's infrastructure and aircraft safety specification. Of course, that does not mean pilots have to do it that way every time, but they should have that ability.