I want to add that when I move my head while punching, I have a tendency to punch at more of an angle. If I slip while throwing a right hand, my right hand tends to go much more left than straight. It also tends to loop a little more. If I slip outside while throwing a jab, my jab tends to go much more right than straight.

Can you really avoid this though? I mean, If I'm slipping to the outside while throwing, but still try to punch completely straight, don't I lose almost all shoulder protection I'd get at the end of my punch?