Inadvertently, yes. Through the course of research or by simply putting 2 and 2 together, an escort's real name can be discovered. On rent.men some don't seem to go to great lengths to conceal it, as Google-able as photos are these days.
So during even a first meet-up, what about politely asking "would you mind if I called you Bob?" using the real name. Would that be offensive or out of line? Personally, I would couple that with affirming confidentiality in all other settings.