Hip motion is in the DS from right to left, so in the backswing it has to BE to the right so that it CAN return to the left.
And when this occurs, the shoulders rock in a vertical plane!!!!! I.e., ON plane with the orbit of the clubhead. Which is neat since the force applied by the legs to the hips moving that way moving the shoudlers that way moves the arms that way and as insiders say, this is the LOC, line of compression. So instead of sideswiping the ball somehow, the right shoulder down towards the target line POWERS the swing.
Bottom line: the legs power the arms/hands/handle end of the club. The OTHER end of it shows up on time for the collision [unless prevented by holding on too tight] because of that old thingee we call COAM...