I dunno. Any time I see a girl who doesn't show her face, right up until she opens the door I keep thinking something along the lines of, "What if she looks like the Elephant Man? Or, God forbid, Ted Danson?" I've been both pleasantly surprised and somewhat disappointed. To me, the facial features are just as important as everything else in terms of overall attraction, so if you've got a hot body, but the face just doesn't do it for me, I'll feel especially disappointed. The face doesn't even have to be unattractive, especially for girls with great bodies that are a 9.8 on the richter scale, an average face feels like a let down because you're assuming that the total package is a 9.8.
On the other hand, I believe I've seen Angelina in public a few times (either that or she has a doppleganger and I must get her number) and I saw another provider on campus, so I can understand the desire for anonymity. Lucky for them I'm smart enough not to run up and jump into their arms screaming their working name. However, as a young single guy, I have no problem with random hot chicks jumping into my arms screaming my name.