Who's actually complaining about the current format to actually warrant this potential change?
Both the O and the D get paid to play the game. If you are a safety and you blow a coverage cause you bite on a fake who's fault is that. If they use this rule you will have more teams playing safe instead of going for the win.
Teams actually try to win the game in regular time because nothing is guaranteed in OT. A rule change such as this will make the last 5-10 minutes of close games very conservative both teams will prefer to take their chances in OT.
I think extra time is the best but i know it isn't like the nba where buckets come around often. A couple of timeouts should be able to do it. Overtime is overtime, at the end of the overtime, whoever has more points wins. More than 1 overtime is different, though.. but sh*t, they play once a week! Add ties, or a double overtime before ties. This new rule has a chance to mess with the whole season. The rules should be for the entire season or else it wouldn't be fair.