It has nothing to do with it being a remake. If they keep it Blue it causes inconsistency. History was rewritten after FRLG came out. It's very likely that he will be kept as Green, as that is his proper name now outside of Japan. Two, names have very little importance.Well personally I believe since this a remake all the names will remained untouched.Others might argue that Remakes don't mean things have to stay exactly the same. But major things such as regions (Kanto), necessary story plots have remained the same.
It just depends on wiether or not you consider names as a important to the game as the regions. As I've already said that in my opinon Blue will remain.