It's not even about physical attractiveness. It's socioeconomic factors. My state I think, has the highest number of people earning over 200K a year. There's a bunch of girls that won't talk to you if you're poor, in a different "caste."
As far as looks and leagues go, yes and no. I've seen plenty of people break out of their league, but many times they're rich or have good jobs, first off. Second off, league placement is more rule, and seeing people outside of it is exception. Doesn't mean you can't be an exception, but it does mean you will be the exception. I think you'd be hard pressed to say if you just looked around a mall or something, you'd see the same thing, more people in their league than not. But again, especially as you get older, it matters less and there's tertiary reasons to dating. Hell, girls will even date/have sex with guys just to get driven around, for drugs, etc. You don't know people's reasoning for why they're in a relationship.
Anyway, I think getting good looking is probably one of the best steps an Aspie can take to improve their life. It makes life much easier. Because I'm a social idiot, I still am not dating yet, but it's much nicer when girls smile at you instead of just making frowny "wtf are you looking at me for?" faces.