I have only controlled a small power station, four x 250 kW RR eagle powered generators, and the main problem was one generator failing, and the other two not taking the load while I put on the spare.
Worked on larger power stations 2 x 750 MW and 4 x 650 MW, and it did surprise me how long it took for them to get to full power, looking at 24 hours or more, mainly to allow for expansion and contraction of turbine blades etc. Think it took 36 hours to turn off.
But in the main we are not moving for zero to maximum, but just varying the output, and seem to remember Sizewell had around 100 MW of diesel generator output, mainly to keep pumps running with a grid failure, but unless one had worked there, unlikely one would know they even had diesel generators.
However, under around 25 kW likely the DNO has little or no control over solar output, so what they can control, likely has a larger min/max output to before solar.
I look at the grid

and note how high the voltage is, don't think I have ever seen it at 230 volts. And I see more and more solar arrays being fitted, and think how many more can the system take?
But the main point, has to be for how long will I get paid a reasonable amount for export, when I first got export payment it was 15p/kWh, now dropped to 12p/kWh but import costs have risen 31.94p dropped to 29.702p for a month, then up again to 32.277p. The off-peak also 8.5p to 6.5p to 8.625p why they dropped it for one month I do not know.
But the 12p/kWh has not returned to 15p/kWh, I still get more for export to what I pay for import, (at off-peak rate) so I can simply charge the battery fully overnight.
But as the off-peak and export get closer, the major problem is the heat pump, the EV can be linked to DNO to control when charged, the storage radiator is designed to store energy so moving the time a bit no problem, solar, battery, and EV can integrate, and not exporting solar is not really such a big issue. But, in the winter of discontent I realised how fast my home cooled down, with the large house I have now, OK over night with heating set 5°C lower, it rarely cools enough to fire the central heating, i.e. the house looses less than 5°C in 7 hours, but my smaller house all those years ago, looking at a 10°C drop in 4 hours, it was freezing by time the electric returned and the gas central heating fired up again.
So I look back to what it was like with a labour government, and think oh know, don't want that again.