With peaker plants fuel costs are a factor, but also the cost of the machine. An old fashioned reciprocating engine maybe the cheapest as a last resort that is only used when other peakers are already utilized. Fuel efficiency becomes more important as the plant is more utilized.
Why even build all those intermittent electricity producers in the first place then? It sounds like problem searching for a solution.
Because they're the cheapest. All else being equal, you want most of your grid to be dirt-cheap, and the last 10% can be crazy expensive and you'll still end up ahead.
Cost a new nuclear power plant in the US: $10,000/kW
Cost a combined cycle gas turbine power plant: $1,000/kW
Cost a simple cycle gas turbine power plant: $400/kW
1) If solar is deployed, gas/batteries/something has to be deployed as well to deal with nighttime.
2) So the 'replacement' of nuclear is steady power that replaces some solar panels, some gas for a net improvement, technically speaking.
Of course, the main argument against that is whether the economics plays out. I find it humorous that I'm taking the side of technical excellence and the pro-solar people are saying "who cares, lets just follow the economics". There was a decade where those positions were mostly reversed when it was coal v solar.
One such use case happen to also be one of the biggest energy consumer, communal heating. If those invested into bigger capacity they could heat the water when prices is low and operate much like a battery for the system at large. The demand for base load would then be reduced and nuclear would have a easier job without displacing the use of cheaper renewables.
Nuclear power plants are best run at full capacity all the time. If you want to replace gas peaker plants with nuclear then you need to build up enough nuclear capacity to replace all other intermittent electricity producers. If you have that capacity then you could as well run them at full power all the time and you'd need nothing else. Nuclear displaces every other power source. Currently Nuclear is factored into the base load because that's the easiest one to produce and we don't have enough nuclear power anyways. Gas on the other hand is the cheapest one to provide power on demand. Therefore if you have limited production capacity the demand for gas plants that are mostly on standby will only go up.