coal power plant needs to have 100 or so rail cars worth of material brought every single day. so you are simplifying too much.
every person doing anything with power generation should put into spreadsheet, what quantities of material is needed to provide power capacity for entire grid.
and you need people, infrastructure to bring, prepare, load that material. which adds COST OF LOCKING PEOPLE, locking workforce for nonsensical jobs. so if someone drives train supplying coal plant with coal he can not do programming job, job in services etc... labor/workforce "opportunity cost"
with PV + battery you bring material once per 10-15 years. and it is not in quantities as in fossil. and one coal plant worth of personnel can manage higher amount of generating capacity in PV/battery
Nuclear plant of ANY KIND will have to have even bigger workforce than whole coal plant, just to do NONTRIVIAL maintenance. just simple microcontroller, sensor.... used in nuclear power plant has to be made available for duration of plant lifetime 30-40 years. you can use any inverter, solar panel in pv, you can interchange them, mix them, this is not as simple with nuclear plant.
people involved in providing energy services and citizens drawing energy from grid, should start think like producers AND consumer, not only like consumers. that way a lot of "grid problem" will be easier to deal with.