Indeed, will anything even work, including the cooling pumps, considering the pre-meltdown damage from the tsunami and then the post-meltdown damage from the explosions, etc?
There's going to be a lot of things that don't work, and a few things that do work. But at least they'll have substantial power available to operate big pumps that can move a LOT of water. And with any luck, they'll be able to use some of the existing piping in the damaged structures.