I would suggest that, yes. If a gay man wishes to come to the US to prostitute himself, I think that's a fair trade-off for not forcing everyone to bend over for the digital equivalent of a rectal exam.
My point is that some people are worked up about what you equate to a "rectal exam," but don't you think there's good reason for these procedures? If not, how would you prevent terrorists from entering? That is, what if your male prostitute is a terrorist?
There are terrorists who slip into the country. There are terrorists who are born here. Most school mass shootings are white American males. Why don't we put all of them into detention cells and demand their passwords?
Arbitrarily violating the privacy of non-citizens makes it easier to do so to citizens, and also makes it more likely it'll be done to US citizens when they travel abroad. Sometimes you just have to acknowledge that bad people will do bad things.