Yeah, it depends on the laws in your state, but generally you're not going to get a lemon law buyback because of paint. They'll repaint the car first.
My car suffers from the same issue. I polished it myself, which has helped, but the trash is still in there. No getting it totally out without stripping it off and a repaint, and I'm not going there. Mostly because I don't think they'll do it, but also because I'm not sure it will end up any better and may end up worse, plus I'll end up with a repainted car, which can hurt resale. Not that I plan to ever sell it, but stuff happens.
I'm also disappointed that GM let this get out of the building like that, but to be fair, I've been spoiled by German cars for too long.