That's very subjective dude, outplaying and everything that you spoke about is. When the outcome of the game is so unsure, I think going for the rematch is the best option.
Let's assume for the sake of the argument that everything goes as planned and Asuka plays perfectly and outmatches Alastor, you still don't take a very important factor into account which is luck and I think considering the magnitude of this game(for your team's, Alastor's, and even other teams overall lol), I think it'd be very unfair to everyone to have the result of the match not be the actual outcome of it.
This aside, I'm very curious with something Asuka said in the match. "I'm tired and wanna sleep" or something along the lines of this, so tell me this Asuka, you knew you were gonna be playing for far longer than an hour from the point of when you said what you did. I think at some point you'd have to ask for a draw, I'm pretty sure Alastor wasn't enjoying the game either and you did ask for a draw. So why aren't you guys satisfied with a rematch?