† Most modern power stations perversely need electricity in order to start them, so if your whole grid goes offline you're fucked, you go dark and your civilisation is now on a clock - a Black Start facility is a station which can go from black (no electricity) to running. In the case of Britain's pumped storage that's because "all" we need to do is allow the water to run through the generator. Once one or two Black Start sites are up you can use that power to start the other generators and restore supply to residents, and things get back to normal in a few hours.
[Edited to say that since we know there's about 20GWh of PSH the larger BESS can't be as small as I thought unless it's run a lot harder...]