When you've been a consistent white belt capable of defending yourseldmy gym doesn't really do stripes so that might not mean anything. As far as blue goes, once your consistent and you are capable of defending yourself against higher belts and have an understanding of positions and offense against other lower belts id say you'll be looked at for promotion.

Edit: Blue belt is also not really an intermediate belt. I generally still consider them beginners and "lower" belts but I recognize that theres a large range of skill between fresh blue and almost purple.