Even if the rule does change, for some reason I see the scenario where the next couple of times the Patriots lose the coin toss in OT (everything eventually averages out), and still win because they were given a possession in OT with the new rules.
Then everyone complains that is not fair that the Patriots were able to 'go for it' on 4th down every time, and thus, the rule needs to be changed again because it is not fair that the Patriots were given a possession in OT.
I think if the OT rule does change, I would probably defer the coin toss every time. If the starting team scores either a FG or TD, the second team will go for it on 4th down every time and theoretically have an advantage (plus the advantage of the defense potentially getting a turnover like in the New Orleans game).
On the flip side, if the Patriots do get the ball 1st, probably Belichick figures out that going for a 2 point conversion results in a higher chance of winning, as not only does the other team need to score a TD, but they need to also get a 2 point conversion just to tie, and that is not fair either.
Thus after winning a few more OT games, the rules will have to be changed again. Clearly allowing the Patriots to even have the football in OT is not fair, the final new OT rules will be made:
Since the coin toss is too random, and the Patriots keep winning, they will decide the outcome of the game via Rock Paper Scissors and allow no team possession of the football in OT. Thus the team captains will then go against the other team captains, simultaneously, and we will then have the winner.