This does make sense, sure, but as far as I remember, we never see Angela facing Pyramid Head, though I can see your point, what with Pyramid Head's..hmm...carnal tastes.I'm just trying to see what the pyramid symbolises in reference to James. Following your no face idea, I can assume shame, but why a pyramid? It could have been any other shape.
The Pyramid ties in with the caps the executioners wore back when Silent Hill was a military prison during the Civil War.
Also, regarding the doorman/bedman controversy:
They're called doormen in American strategy guides and documentation because Americans just can't handle the concept of sexual violence. It's clear what they are if you look at them, but Konami doesn't want to be known in America as "the people who made that game with the rape monsters."