If you camp by yourself I guess a wet bath might be okay. You can manage when it's wet, when it's dry, and keep your clean clothes and towel outside the bath so they don't get wet.
I camp with my family and sometimes just the guys go out for an event somewhere. Then, a wet bath would be problematic. I want to be able to go in the bathroom with my towel and clothes, shower, dress, and have it intermediately available for anyone else to use. (There always seems to be someone else.)
Our TC has a dry bath and I wouldn't have one any other way.