Yes, the point of giving Rock the belt was to have him wear it on his media appearances for GI Joe. This was stated as much as something can be that didn't come from Vince saying it on RAW. This is a big deal and I'd be surprised if Punk didn't make a comment on it. Then again, when does he ever shut the fuck up?
I know why GI Joe wouldn't want him to do it, but that shitty movie, which was pushed back for 9 months because it was so terrible is probably a smaller source of income than WWE. Needless to say, less long term as well.