It'd be kinda cool but it wouldn't make sense. How would someone know those kind of details like that? The explanation would be hashed up and really it'd be totally lame. It'd be like making things up, unless, we were given a game that was a prequel (sorta) and that just seems crummy.
They wouldn't, they've made a point in all the games so far to make it as vague as possible.
But for the sake of the question I'd probably be annoyed at first (I mean what was the point of letting me choose if you're going to disregard that choice?) and then I'd probably just ignore it as best I could.