I know what you mean about the heavy screening especially when we, ourselves want anonymity but I think it's a good measure of the standards of the agency that they are looking after their girls and so taking the whole job seriously. As long as they are discrete and keep confidential the details that they take from us then everything should be fine.
I know Jane and Wesley from Cheshire Companions are careful in the first dealings with new punters but once they know us and have sent us a few girls then they are OK. Ive used them for donkey's years and they obviously have my phone number logged and showing up on their screen as they always know it's me when I call.
The issue for me would be if the girl herself is given too many personal details about us because THEY are the transient ones who can move on from the agency with our particulars where as the agency itself, whether it's Cheshire Companions, McKenzies, Manchester Elite or whoever have a vested interest in keeping us as clients.
Ive never known one of the girls arrive and have anything more than my name and that I'm a nice bloke....lol.
Just my thoughts....