If almost all of those systems are electric (because they are simple and cheap to install and don't get a ton of use), you get a lot of constant demand for electricity. Smart load-shedding (to dump large 240VAC loads in rotation) would allow the grid to survive these periods, while keeping houses livable but chilly.
I agree the wind excuse is (almost entirely) BS. Some amount of production is offline all the time, at least enough that you have to design for that.