movie car in that AA failed to remove the Mustang lettering across the rear of the car.

I read that McQueen also wanted the Mustang rear logo and the panel with the tail lights blacked out. I can't tell from your photo whether or not AA did that. Greenlight did it on their version.

If AA didn't do that it seems like an AA owner could do it themselves without a lot of effort. Here's the rear of the Greenlight model.