I hope, and suspect not. If Nate's highest motivation is to shut people like me up (I admit that I have been fairly relentless regarding that miserable game), then I wouldn't have much hope for his focus on the field.
Fortunately, however, from his interviews, and reports of his ethic in practice, it would seem that his focus is inward on himself, and improving to be the quarterback he needs to be. I have to believe that his performance on that day in Los Angeles weighs heavily on his mind. If he's using that experience in any way as motivation, let's hope that it is to create one of the most epic career turnarounds in NFL history, and not merely to shut up his detractors. Thankfully, all indications are to the former.