As cool as Fluther is, this is really a question you need to be asking the military branch you’re interested in joining, instead of asking here. It’s too important to assume you get the right answer from us; you need to be certain you get the right answer from them.
Personally, I wouldn’t ask a recruiter, just on the chance you might have an unscrupulous one who’ll tell you whatever you need to hear to make you sign up (then have you still end up in trouble later). I’d probably call their public relations office, posing as a journalist working on a story or something, and ask them for a statement on their policies on that situation.