I've been around a few decades and can't help noticing that a little bit of everyone from every religion and every demographic has been known to carry those things around.
For me it makes sense when you think about philosophers and psychology schools. Lacan didn't considered himself lacanian, but freudian. To almost quote himself "people ask me if I am lacanian, that I leave that for my followers. I consider myself freudian". It is a dynamic of who you followed built their own material with other people material, so having a not christian Christ is not the same as having Christ not believing in himself, but considering the path he went through to build his teachings.