I just felt like posting, so here's a quick note. Someone else might tear it apart, but at least we get this started.
"Back and on plane" does not sound bad.
The actual role of the right shoulder depends on whether you are hitting or swinging. Swingers use it as a flywheel - spinning down on plane - once the hips have lead the way. Hitters uses the right shoulder as a base for "the hit", so it'll stay more "back".
Shoulders moving out sounds like level shoulders. That would cause roundhousing, i.e. going the wrong way. The eyes will tell the Computer: "we'd better do some out-to-in if we want to hit the ball at all".
The shoulders are leading the clubhead to a location high above the ball. The Computer does not want that. So it'll tell the hands to fix it. The reaction is flipping the hands in order to make the clubhead hit the ball.
That will in turn default to a pull, duckhook or hook. The hook tendency is often combatted by an open face and/or chicken-winging, most likely causing a slice.
Either way the result depends heavily on hand manipulation.
No. Hips and shoulders do not move as a unit.
In general I feel getting the shoulders on the right track will immediately take the game to the next level.
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