So I start thinking: Maybe the rotation doesn't care whether the club face is vertical at all times. So I do a little experiment. You can do it to:
Take aquired motion with your right hand. From horizontal to horizontal. Flat vertical hand at all times. Anti clockwise rotation right? Then turn around 180% and complete the circle. Not down and up. But up and back to horizontal. Complete the circle. Clock wise rotation on the upper half.
I don't see how this - anti clock wise and clock wise can alternate without additional forces doing something. Can earth gravity do it? Maybe but I don't see how at the moment.