OK, that's a fair point I guess. I think by now I kinda know the rough spots in my commute, and I tend to focus on getting through those, I think I instinctively would not pick up and turn around there. And fortunately (as far as I can recall) all of my turn-left spots are good road.
Moving left hand nearer to center, that's a good idea, I can see how that would help -- but dipping the right shoulder? I don't get it.