Not only do I believe that, but the whole system of determining who wins and loses is predicated on it.
On the day that they played, Purdue was better than Ohio State. If you want to say that Ohio State's body of work over the course of the season makes them better than that result indicates, fine. That's not the same argument as the one you're making about this game though. You're trying to say that we should ignore one team's boatload of mistakes but not the other's.
Today, here and now, not taking into account what the teams have done in all their other games this season - the team that wins this game will have been the better team.