Agreed, Volker. The grid operator for the mid-Atlantic region of the U.S., PJM, will spend $3.8 billion in "capacity payments" next year. These are payments to supply resources to ensure that there are enough resources around to meet peak loads. These units need the capacity payments because they are used so infrequently that they can't justify staying around without the top-up payments. If you could shift load sharply to smooth out usage (not just at a few peak periods, but consistently), the capacity payments could go away. You'd also save hugely on deferred transmission and distribution upgrades.
Efficient management of loads is not just about renewables!