I'm confused. It seems to me that Ted's head clearly moves "back" and off-center (i.e., away from the target) on his backswing and stays there through impact.
Try executing the drill, before putting me to death. It's not as easy as it looks. Moving 1.5 inches is better than 12. I was previously taught to move my right eye over my right foot for more power (a pronounced sway). I was taught an un-centered arc, the "Y" factor.