To me, the setup of the pickem is a points-based contest. If at the end there's a tie, then the winner goes to the tie-breaker, which is closest final (total points) prediction. Makes sense.
I think you're exactly right.
We're not talking about a situation where Beers and I are tied going in, and might end up tied by picking the same winner. In a case like that, it makes sense to say "You both got it right, but who was closer?". And it makes sense because we would both have been right about the winner.
But, what we've got here is a case where the only way Beers can catch me is if Beers and I choose different teams, and Beers' team wins. Well if Beers is picking the winning team and I'm picking the losing team, who the fuck cares if my score of, say, 80 total points is closer than his score of, say, 100 total points? He chose the winning team in the championship game, and I didn't.