I understand that the Pats vs. Broncos analogy is imperfect, but it does the job insofar as it shows that when, -- either for reasons of insufficient power (Pats) or infinite love (God), -- the outcome Pats or God did not wish for, happen, then you cannot say that Pats, or God, caused the outcome.
I'm sorry, I'm not sure I'm following you. Are you saying that if, for whatever reason He had, God wanted the Pats to win, but since they didn't, then God couldn't have caused the loss?
BTW, I fully believe that God fixes football games. Take that Steeler game. (The Steelers are my favorite team outside of my home team [Rams].) Remember that 4th quarter INTERCEPTION by Troy Palamuanoluaamonoa (The HAIR guy!)? When the judges were unjust, the people of Steeler nation cried out to the Lord, "Please deliver us!". And God heard their cries and was concerned, and took pity on them. So God sent a plague of chokenness upon Mike Vanderjagt, that he might sorely miss his intended path. And so it was that he strayed to the right and thus gave up his reward. The Lord, being always faithful, delivered His people. :)