IMO, the cleaners we use for our paint aren't really suited for soap scum removal.
Soap scum is primarily conposed of free fatty acids. Therefore, you really want to use a base (i.e. ammonia) to dissolve the fatty acids so they can be rinsed away. If you use some of the slightly abrasive cleaners (VM or SSR1), IMO, you are only removing scum via mechanical action and it's probably gunking up your pad.
Chemical cleaners (like AIO) probably are not very basic so they won't do a good job either.
Upshot is that the PC with our detailing cleaners is probably not the best way to remove soap scum. Instead, make an ammonia solution of 0.5 cup ammonia to 1 gal. water. Spray on, scrub, and rinse.