An open in a dual is labelled a forfeit. Kid still has to appear and get his hand raised to get the team points. Therefore, I believe that can count on his record. There is a difference between 1st round Bye and Forfeit in a Dual.
Only would be different if the BYE was due to not having enough teams to fill the bracket. In a HS regional there are 8 teams in 5A and 6A so EVERY spot in the bracket should be filled? Agreed? No different than a dual forfeit.
