I think the dystopia part comes in if a particular male's only chance for a sexual relationship is via prostitution. That seems pretty dystopian to me.
Yes, it would be better than "never getting to have sex at all", but it would still be a pretty unfortunate situation to be in for a lot of people.
On the flipside I've read somewhere about e.g. the Dutch government acknowledging sex as human desire to a point they pay it for some people with permanent disabilities, kind of as a form of therapy. I guess you could call that dystopian in a sense, I'd say it's much less so than people literally dying from a lack of accessible healthcare. But that's another can of worms.