I think all novice drivers should have to attend an advanced driving course, where they could be taught emergency breaking, skid control wet weather control, etc.
Many years ago when I obtained my CAMS general competition licence, these things were covered comprehensively in the first day of the 2 day course.
Looking at most of the fatal crashes involving young people, they are driving too fast with no idea how to regain control once they lose it.
As for auto versus manual for teaching, the great majority of cars sold now are automatic, and I guess most people will now spend their whole motoring lives driving an auto. My current car is not even available as a manual!