After all, climate change kills a lot of people, we only have to kill less.

But the problem here is that climate change is not shocking to people. But a nuclear accident would be. In fact, 2 of the 3 nuclear disasters we had are burnt in the collective memory for ever.

So strong action to prevent such accidents are also needed as a communication measure, to reasure the population. Given you are "anti-anti-nuclear", I think it's a good step to reduce the "anti-nuclear" sentiment.