I heuristically associate people who "reject all labels" or "refuse to be pigeonholed" with a) High Broderism, b) conceited windbaggism, c) lack of intent to communicate clearly and efficiently. I also think "aspiring rationalist" is a perfectly reasonable thing for someone to call herself.

But I do hope you write your post and make your argument - perhaps you don't mean to say anything like the things I am imagining.

They do so rather context sensitively from what I've seen. It seems a not unreasonable name to call one who is aspiring to be more rational. I think that perhaps you're taking it more seriously than most? Two cult koans comes to mind.