00:00 is supposed to signify doomsday so my theory is that we would never actually see the time set to 00:00. Figure it gets down to 00:05 due to increased global issues so we know everything is super on-edge. In that scenario, nuclear war would probably kickoff and the last thing on anyone’s mind would be setting the clock to 00:00. After the kickoff of nuclear war, I doubt anyone is going to care enough to update the clock so it would forever be set to 00:05 until an advanced race of aliens send their exo archeologists to earth and make the discovery.