The wider stance of the longer club is needed because of the increased amount of hip slide that is required to get the right shoulder on plane after the shoulders turn flatter because you are bending over less and thus your shoulders turn flatter on the backswing by default.
Whew!
The real "trick" is to make sure the ball is far enough forward and the head is far enough back at impact.
I have seen golfers on the SQUARED SHOULDER PLANE with the driver who hit it great!