With civilizational collapse, they might not because everyone bolted when civilization collapsed or people stayed behind to keep the reactors running but lost functionality before they turned them off or starved to death while trying to keep the power on for survivors.

Is it really critical to keep the power on when people have run out of gas and food?

It's probably better to turn them off in the safest way possible, then leave.

How fail safe are fail safe measures on the nuclear reactors in your country?

Does your bug out map include the locations of reactors and nuclear waste storage sites?

Can they see it on doppler?