Based on trying to use toilet paper to dry off from an errant splash, it's not very good at that purpose. It's designed to fall apart as soon as it gets wet. And anything that isn't (paper towels, etc.) should really not go down the drain, as it's likely to form clogs.
You're just cleaning up droplets of water on the underside of your butt, not sponging up a puddle. If your toiler paper can't handle that, I have to wonder how it can handle its other duties. Try a higher ply.