The legal precedent that Doty set aside was setting aside a binding arbitration. Even when arbitrators err, their rulings are pretty much universally upheld because it's quite the nasty legal can of worms to introduce legally binding agreements as debatable in court. I have heard, and I am no legal expert, that Peterson will lose ultimately because the higher court, while not disagreeing with Doty about the incorrectness of the arbitration, will nevertheless throw out his ruling due to the simple fact that Peterson had legally agreed to Goodell's crooked deal.