The realization that industrial processes are dangerous, that power generation is an industrial process, and therefore dangerous, and that the only meaningful way to measure the danger of an industrial process is by comparing it to that of another industrial process should contribute to the understanding of some.

Is nuclear power generation dangerous? Yes. Is all power generation dangerous? Yes. How dangerous is nuclear power generation compared to alternatives? Not very.

It's pretty accurate to say that nuclear fizzled due to FUD. The conversation ended after the answer to the first question was 'yes'.

I’d appreciate if you could clarify what’s wrong. Even if both you and your interlocutor understand it, the point has unfortunately gone over my head (and possibly the same for others reading).

You're partaking in the "say something bold and prove me wrong" rhetoric, you just like the assumption that nuclear is unsafe more. When acting with imperfect information you should not go to such methods.