Cheaper to pay to switch them off. Electricity doesn't "store" very well either.
I think storage is the massive thing we need to crack to make renewables work really well.
Demand is variable and also supply from renewables is variable, but we are obviously getting closer to where the average available from renewables+nuclear is sufficient to meet our average demand.
I know we have a few pumped-hydro stations where water is pumped up to a reservoir using surplus power and released when we don't have enough power but we need something on a much bigger scale. It doesn't need to be efficient storage as we are using surplus "free" energy to store it, but we do need to be able to store vast amounts of energy.