Instead of carpet, I'm wondering if I could lay rubber flooring down over epoxied plywood? It's nonslip, tough, and won't be damaged by water and easy to remove and clean. Plus I wouldn't have to mess with any more adhesives.
Won't being covered with rubber keep it out of sunlight? I want to get a mat and cut to shape... no more messing with painting. I found some that is only 4mm in thickness, which should be enough to make a soft flooring and not be overly heavy.