"As of early September 2022, 32 of France's 56 nuclear reactors were shut down"
This is cherry picking. Look at the 10 years, or even lifetime, average availability. It's 90 or 95%. The reason for this bad number is because of delayed maintenance due to COVID.
"serious consequences for power plant cooling systems, as the drought reduced the amount of river water available for cooling."
The reduction of power output of French nuclear was something like 0.30%. You read that right. So I would call "serious consequences" a blatant lie.