Jane isn't old enough to watch TV (and the irony is not lost on me that I watch enough TV for two or three people myself), but someday maybe we'll watch this clip together. A Supreme Court justice is telling one of the characters (Abby Cadabby -- the weird one I can never figure out why she's able to do magic in the books we read) about careers. Being a princess is not a career.
Since I've been home my Gran and dad have both called Jane "a little princess." I know it's a term of endearment, and I haven't said anything like "don't call her that," even though I cringe a little when I hear it. (I don't think they called Owen "a little prince," but I wouldn't doubt it entirely, especially for my Gran.)
Jane is a lot of things. She's funny and amazing and smart and strong and beautiful (and every synonym of those words). But she's not a princess.