You need perversion for Jenna to be able to do more and more perverted stuff in Carceburg and other places.
There is a special choice in the game that requires 0 perversion, but it won't lock away a large amount of content and is meant as a reward for players who go through the troubles of doing a 0 perversion run.
You can skip the perversion in the prison by interacting with the window instead of going in.