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That's far from guaranteed. It's very possible to have little wind over a large area, larger than France even, during the night.

Do you have any actual numbers to back these claims up?

Yes, at Europe scale: https://youtu.be/1aCHN6dytVY in French

And the same for solar. There are several hours every day when the sun is shining nowhere on (Metropolitan) France.

Especially during the night :)