Hmm...I still think in my opinion both sides should get an equal opportunity to score, not just have to watch the opponent score and then being, oh well, it is what it is. You did bring up an interesting point about the safety of the players, which is important. I think this rule could be applied only in playoff games as there is a lot more in stake as you're one and done if you lose, so you would want to least have that opportunity to strike back. I'm sure that the players would be willing to play through fatigue or whatever the case may be to have that opportunity to win if it goes the distance.
It's weird, I'm not even a Packers fan but I felt some kind of way as Aaron Rodgers was on sidelines after that brilliant play to force overtime, only to watch his defense give up a touchdown in a matter of a couple of plays without being able to respond. That is a cruel twist of fate right there. You did all that, then bam, it's over. Ugh....if I were him, I would be so pissed, lol.