If the goal is simply to achieve a 50/50 outcome, just end the game after the coin flip.So there are really two competing ideas here. There is the idea of what "feels" fair, and what system produces something close to a 50-50 outcome i.e. is mathematically fair.
The college system feels fair, because both teams get the exact same opportunity. It's like baseball extra innings, both teams get the same number of outs. But mathematically maybe it's not perfect since the coin toss winner wins about 55% of the time.
The NFL system fails at both. It doesn't feel fair to the average fan, and the math in the playoffs doesn't seem to be working out either. What are the odds that the coin toss winners would go 10-1 just based on pure chance alone assuming the system is fair? 0.5% They can do better.
I understand those who say that Buffalo should be able to get a stop. But the simple truth is that if the coin had simply landed tails, it's virtually certain that KC fans would be whining about the rules today.
The NFL system is fine. We're talking about a sample size of 10 games in the playoffs - and in those, the game ended on the opening drive at most 7 times. Even deciding the game on a coin flip isn't going to result in a 5/5 head/tails split in every 10 game sample.