A point of exception would be your basic premise, namely that the Hands must always be moved "solely with the Pivot." Remember, Pivot Strokes are optional, and in these instances, the Arms supply the necessary transportation for the Power Package.
Let me back up here and start over. Under what conditions would it be valid to add arm/hand effort to flywheel power in a Swinging stroke? Aren't all strokes pivot strokes for a Swinger?