The demand for power is variable, and the difference between base demand and peak demand can be 2x or even 2.5x. While nuclear power can be viable for satisfying the base demand, it's viability for the variable part is another question.
Then there are cheap renewables. If you don't constrain the market artificially, it tends to build solar and wind until nobody knows what to do with the excess electricity. That makes power cheap on the average but potentially very expensive when the demand is high and the generation is low. Nuclear power, with its high capital costs but low operating costs, does not seem to be the right answer to this variable demand / variable generation problem.