Well, I hope I can help.
The first thing I would do is test some behind the potty, okay?
BUY patio paint from Hobby Lobby, Michaels, or JoAnns. It's an acrylic made for outdoor use and so it should hold up great. Exterior Flat will also work.
Use it watered down just like you thought....good thinking!!!
But test it behind the potty.
After a couple of days, pretend you're going to mop the floor and make sure it doesn't all come off!!! It shouldn't.
I hope this helps!