[O.B.Left]

All you are really doing is figuring out a way to come into the ball with the clubface closed, square or open. You are not controlling that through the impact interval. Whether you have a full roll, half roll, or no roll feel again you are just figuring out a way to get to the ball with the face in a certain condition.
That being said I think hinge action is important to give people a balanced motion. As a player you can achieve certain shots with with the different feels of hinge actions. Even though you may not be actually changing the face through impact interval , the feels can help you get the clubface into different conditions coming into the ball.

Rhythm, assuming I understand you correctly, I believe you are discounting the effect of Layback during the Impact Interval. I can create very different ball behaviours with the clubface held perfectly square at impact on the shortest of chips. With a flat left wrist.

Horizontal Hinge Action of the left wrist creating a closing only , no layback of the Clubface Motion. Vertical creating a layback of the clubface only motion. The clubface square to the Target Line at impact. Surely the ball must react to the laying back clubface during the Impact Interval. This is not unique to golf or G.O.L.F. a hockey player for instance knows how to "roof" a shot when in tight on a goalie with a laying back of the sticks loft, dynamically, while the puck is on the stick. Well maybe not the Ottawa Senators players but certainly most of em do.

An intentional opening of the clubface at Fix and Impact is a Cut Shot procedure a totally different concept that may or may not be employed to increase the effective loft of the club and/or to expose more bounce in the sand. Here too the ball flies in a direction in accordance with the face angle .... to the right higher, shorter and with slice spin if opened up. Try this when in tight on a goalie with a gaping hole upstairs and watch it go wide right and expect a long rest on the end of the bench, or maybe even a trade to Ottawa.