They do! I'm working on a patch that will be finished during this week that'll add descriptions for the main stats, as well as the lewd ones(Corruption, Pain, Shame). That said, pain and shame don't have all of the effects I designed for them, that will come soon, but currently they only increase certain lewd attacks effectiveness. (e.g. Pain increases spanking arousal damage).
I'll write the explanation for each one of the stats in the game's description, until I have time to put them in the actual game.