Huh, I guess you're right. I wanted to refer to this as third person but from what I understand it's not exactly right.
It isn't quite right. I call what we have broken neck camera. Proper third person camera can be used to look up. We cannot do this here, and it makes doing practically everything a big chore with the camera. For a game that seems to pride itself on "verticality" it sure doesn't want us using it.