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France routinely varies the output of its nuclear power plant intraday to follow the demand

True, however this is a far smaller variation ("several tens of percent" [1]) and only happens slowly (~once per day). This is in contrast to gas turbine peaker plant with can ramp by 10-20%[2] of rated power per minute.

[1]https://www.oecd-nea.org/nea-news/2011/29-2/nea-news-29-2-lo...

[2]https://journals.sagepub.com/doi/10.1177/0957650920932083

I am not sure what you mean by one per day. There is only one cycle per day. And it’s not slow, fast enough to adjust for the daily cycle.

https://en.m.wikipedia.org/wiki/Load_following_power_plant

“Modern nuclear plants with light water reactors are designed to have maneuvering capabilities in the 30-100% range with 5%/minute slope. Nuclear power plants in France and in Germany operate in load-following mode and so participate in the primary and secondary frequency control.”

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