[no_mind_golfer]

There is nothing so sad as a beautiful theory destroyed by one awkward fact.....

Unless a golfer's grip slips (not recommended) the clubface maintains the relationship it had at the time the grip was taken to the back of the left hand. Because it is anatomically impossible to get the left hand "back and up" there (top of the backswing) with out some rotation, the face fans open on the way up and closes again on the way back down. (And it is unfortunate that the process is likely not anywhere near as precise as with a set of high quality gears... ala iron byron). This has nothing to to with angular momentum vectors axis of rotation or lathe imbalance forces either.