> it's logically incoherent to try to determine what level of inflexible power generation will meet "the baseload".
Lots of folks don't know that coal and gas fired plants are able to turn down their power generation more than 90% (i.e., "ten to one turn down"). It's definitely true that cold restarts take a while. However, they often rather quickly and dramatically change their power output profile while running.
That depends on the design. Gas fired plants typically can turn down that much. However many coal plants cannot. The older the design the less likely it can turn down far.