That's it. If you need to have nuclear capacity for a grid for say 30GW, despite average usage being just 10GW, your price is now $300/MWh rather than $100/MWh if you can run them 24/7
Why? All modern nuclear reactors do load following. I believe it’s even an EU requirement. And certainly the practice in France.
Nuclear costs the same thing whether you use it or not. If you meet the peak energy demand with nuclear you might as well save the construction of intermittent renewables.
Doing that is part of the plan for the switch to renewables, and people are actively working on it. A friend of mine at Siemens energy for example is involved in such projects.