Nuclear is awful for peak demand. The cost model of super expensive CAPEX and low OPEX only lends itself to running at 100% 24/7.
Let us say you run a peaking nuclear plant. It can run for 30% of the time, optimistically. It now costs ~3x the price, so $390 to $600 per MWh. That's insane energy prices. Worse than Europe in a haphazard energy transition from Russian gas due to the largest war in Europe since WW2 breaking out.