You're missing the point, which is that if you don't use a nuclear plant to 100% capacity (or run at 100% capacity and throw away most of the energy), you end up paying more for every Joule you actually use.

How much would it cost to build nuclear power generation capacity to meet peak demand, vs. building a grid with renewables, long-term transmission and storage? The levelized cost of solar and wind power is way below that of nuclear power (and that difference will become much larger if you're only fully utilizing nuclear power during the daily peak demand), so the question is how much storage and transmission add for renewables.