But how much of the heating is, or needs to be, electric?
Many current heating fuels are fossil and not great either, but they can be replaced with renewable fuels which solves storage vs renewable-produced electricity.
That does seem to head for electricity based heating. But a web search lead to some (admittedly 6 yrs old) graphs that have electricity being in in 3rd place after fuel based heating solutions by energy use: https://www.stat.fi/til/asen/2014/asen_2014_2015-11-20_tie_0... - and hopefully those new houses are better insulated and use proportionally much less energy than the average housing stock, eg passive houses.