For some folks who have the fetish, the negative consequences - say, being such a public slut that word gets around the world (or galaxy) about your exploits, that people you've never even met, that aren't even on the same planet as you, have seen extranet videos of your masturbating (or screwing) or what have you - can actually feed into their fetish and be extra hot. There's certainly a balance to be struck where the negative consequences can be so harsh as to be buzz-killing or -lessening, but the intergalactic equivalent of a nun clucking her tongue at you and calling you a whore because of your public lewdness is probably part of the rush for a lot of people.
The key would probably be in either providing alternate paths if anything major is blocked by such drawbacks, the drawbacks just making certain content/missions more difficult to access/complete, rather than removing them completely, and making any content that is outright just blocked and unavailable due to the drawbacks being rather minor and infrequent.
Mind you, all of that's more work than it's worth, IMO, but I don't have an exhibition fetish.