Problem isn't nuclear cooling per se. It's the designs of these nuclear reactors which expected to work with mild European weather. India and China have nuclear reactors working in desert without any cooling issues. Of course, as most of EU and west atrophied in building nuclear reactors in general, building new reactors or modifications won't be economical.
it's not economical because in the same period summer prices are dirt cheap. EDF is already maxing export in that period, where do you want to squeeze some extra GW? why would you?