Yeah that's technically true. Practically however river water is used to cool the circulating coolant and to prevent the waterlife from dying due to heat, the power plant needs to be shut down when the river level becomes too low.

Why does the fediverse believe that everyone that does not celebrate nuclear power has no idea how it works?

And even if droughts wouldn't have an effect, then nuclear power is still much much more expensive and only works when the government subsidizes the companies that run the plants. The conservatives try to promote nuclear power in Germany for some time now and yet all German power suppliers have said they wouldn't even restart their nuclear program if the governement were to heavily subsidize them. And that is without having to find a place to build them and get the planning legally finished