This is not how nuclear works. Nuclear sets a low price that corresponds to its cost, then lets more expensive marginal energy sources set the final price. Nuclear can by the way be modulated +20%\-20%, which makes it quite flexible in real condition. See https://www.rte-france.com/en/eco2mix/power-generation-energ... as a proof - nuclear generation in France can go from 25GW to 45GW during a day.

New small modular reactors promise great improvements, as they can be pre-built in factories, require limited maintenance, lower risk, and as a result much lower cost per MW.

https://www.rolls-royce.com/innovation/small-modular-reactor...