Pumped hydro is very limited and most resources are already exploited. Wind energy is not a solution because sometimes it just doesn't appear when you need it.

Nuclear actually is a solution, in the sense that if you implement it, the problem will go away. Renewables are not a solution in the sense that even if you over-implement to an absurd degree, with present technology the problem will sometimes remain.

The people pointing this out are not zealots, they're people with a basic understanding of how electricity works. It's the people who insist against basic physics that renewables can power 100% of the grid that are the zealots, and now we all will pay the price for accommodating their extremism :(