I'd have to assume they don't, but perhaps there's a male escort here who can tell me otherwise...
There was this drive before in the red light district in amsterdam to have guys working behind some of the windows.
They had some pretty handsome dudes in there, all beefed up and what have you, but from what I saw (there was actually a video of it online), it was mostly real old women, like grannys, that approached them, and I didn't actually see any of them go inside - possibly because the place was mobbed with people watching them, and they didn't to shame themselves. Or perhaps they were just asking what their service was etc.
There's a myth that actually "gigolos" exist, that lead exotic lifestyles, and women pay them for their sex.
There are actually a few website with dudes who claim to be gigolos and they travel internationally for clients, but I don't know if that's just for dating i.e. being seen in public with them, escorting them to events etc.
But neat way to make a living if you can pull it off.
Anyways though - are the male escorts on E-I only for gay men?
Or do lonely women ever make use of their services?
On a related note: I saw this TV/TS's profile that said, "only for men!".
I can't imagine a woman would call up a TS for a good time...