I'd love to see the rules expanded in future years so that some predefined committee could make a determination whether a game could be continued from the point of the mistake. I think to do this it would have to meet the following criteria:
1. The mistake could not be a judgement call.
2. The game would have effectively ended (or very close to it) after the mistake.
#2 couldn't be codified in a rule so it would take a committee to make a judgement call.
Obviously if a similar error occurred in the second quarter, you can't wipe out 2+ quarters of plays. Doing so could easily be more unfair than mistake itself.
But #2 would be a hard criteria to meet. Locust Grove was forced to play defense after the penalty was incorrectly enforced and they stopped Douglass. If Douglass had scored they (Douglass) would not have protested. That means if a committee has the power to force a replay, you have effectively forced Locust Grove to having to finish and win the game twice. A failure on either case would result in their loss.
I guess in that scenario, had Douglass scored after the penalty, Locust Grove could have protested saying that the game ending should be replayed after Douglass's first score.
Allowing replays would be tricky business.