The waxes aren't really designed to be put on by machine polisher. Although DoDo Juice have released a 'stick' version of their premium 'Supernatural' wax, just for that job.
There's no effort required into applying a good wax, as you've already done the hard work in the prep'. You just smear it on, then buff it off, so you might as well do it by hand (I prefer to use foam applicators, as it uses the wax more sparingly). Which P21S (now branded R222) wax have you got? If it's the Concourse look carnauba (the most popular), then you really shouldn't have any problems removing it, as it's well known for being one of the easiest waxes out there to use. It's good stuff - If only it was a bit more durable. I used to use it on my old 5:
https://rtoc.org/boards/album.php?alb...pictureid=8292
Oh, and if you're using a wax and Super Resin, the wax should go on last. The SRP polishes and cleans, while the wax seals the job. Personally though, I wouldn't use SRP. As good as it is, it's so feckin dusty, and it stains anything that's not paintwork