People would install a battery at home the way most of the world installs solar and they’d see massive reductions in electricity bills more than paying for the battery. The UK is absolutely terrible location for solar, and it’s still installed because UK’s electricity prices are so high.
That said, wind going to absolutely zero nationwide is extremely unlikely but the more people who signed up for such a system eventually just a little power wouldn’t be enough for all of them. So there’s be an economic feedback loop.