This is an interesting point I came across in reading some stuff by OSHO a while ago. It's one of the reasons I refused to type myself for a long time. Your type can act like a straight jacket, preventing you from expressing some parts that aren't aligned with the expectations of that type.
I think you're right that people contradict themselves naturally on behavioral, cognitive, and affective levels. The interesting thing is the release you get when you allow those contradictions to coexist. I would suspect that it's a result of letting go of having to be anyone and be satisfied with who you are.
Meh. I don't really have anything interesting to add. I'm just babbling.