Riot, this is why you need to get replays implemented
https://www.youtube.com/watch?v=piFHDU2NSMQ
No one can deny that this bug was the start of a chain reaction that lead to FNC loosing the game. The thing is, no one can fault FNC for not pausing either.
If there's a game changing bug, the game can be restarted. The problem is, against an opponent like SKT, FNC were most likely doubtful they could pull off an early game like they had that match. Their best chance of winning was to push through the bad situation that the bug left them in and try and pull it back.
Basically, FNC didn't remake the game because they were afraid they couldn't reproduce all the work they'd done so far.
How do replays factor into this? Look at Starcraft 2 replays. Starcraft 2 replays let you resume the game from any point, and swap out the players if you want. While there are many fun and useful aspects of having this feature for every day players, one of the big reasons this should be considered is the eSport value.
If replays were built into League, FNC would have paused the game, the game would have been "rewound" 5 seconds or so before the bug, and the game would have resumed from there. No drastic change to the game, no SKT second chance at the early game, no "Sej forgot Arctic Assault and learned Distortion", none of that.
As an added bonus, it'd make debugging these freak instances easier for you! You know that the bug happened at this point, you can replay that point over and over and over again until you can duplicate it and figure out what's going on.
What stage of development have Replays gotten to, and what's the plans for their continued development and release?