No one said 'whoever wins the coin toss is going to win' - that's obviously false. But a coin toss should not give one opponent a large advantage over the other - and the current model does. The advantage of giving each team a possession is that all of the team's units were given the opportunity to play. In yesterday's game, once OT started, the Saints offense had zero opportunity to determine the final outcome. In what universe is that fair or desirable?
Whether the league has gone too far in promoting offense or whether 'defense wins championships' - those are irrelevant. The goal is to give an opportunity for the best team, on offense, defense, and special teams, to win the game. Neither sudden death nor the current model do that.
The injury argument is not one without merit. But how far are you going to take that? We could shorten halves to 10 minutes and we'd reduce injuries. Do you want that? We could eliminate kickoffs and reduce injuries - does that make it a better game. Injuries can happen anytime at any point in the game. Yes - logically if you extend games you may have more injuries. But I think setting up a system where the best team wins the game is a core need and trumps anything else. Just my opinion. You'd likely be talking about one more team possession per game - I don't think that creates unreasonable risk.