Say it's a cold cloudy day with no wind and it's been so for a week. You'll need the capacity of that coal/nuclear plant those days. And let's say every other day of the year solar and wind make enough power. So who pays the extremely high fixed cost of the nuclear and coal plant so it's available that one week you need it? No one wants to, so they're shutting them down. The power company could still be paying the bond for the plant, but ultimately that's the consumer's money. Then, surprise, you end up with blackouts or you pay for new natural gas plants to be built. Prices and fragility go up.
It's likely cheaper to make demand more flexible, but that has a cost too.