UK current electricity demand is 30GW. So the demand for one hour is similar to the entire lithium battery production for a whole year.
How many hours worth of storage would we need to balance the energy grid using only battery storage? Off grid homes usually aim for around 3-7 days worth. Obviously that's excessive for a whole country where weather conditions vary across the country but I'd think several house would be required to account for peak in demand at times of low production.
Realistically distributed storage and load side control I think are more likely to be a bigger part of making it work.