Heating in particular is an especially easy problem to solve; various kinds of thermal energy storage (sensible-heat, phase-change, TCES) can store heat for later climate-control purposes several orders of magnitude more cheaply than batteries. Washing your clothes is a harder problem, although a stockpile of clean clothes is easily stored.

Predicting how willing Swedes will be 10 years from now to buy extra jeans and install phase-change energy storage in their houses, however, that's beyond anybody's ability.