These are all valid. However, if only nuclear can get us past "bottleneck events" (e.g., oil supply chains falling apart due to deglobalization or the world's oil running out, either of which would (or possibly will) cause catastrophic effects), then that supersedes #2 and #3, and probably #1 as well in most analyses.

I'm not well-versed enough in hard evidence to assert that we absolutely need nuclear to make it through bottleneck events. But it's plausible that we do. And so we shouldn't rule it out unless there is high-certainty evidence we don't need it.

In other words: I think the burden of proving that nuclear is unnecessary is on the anti-nuclear crowd. I've heard plenty of arguments that wind/solar will be enough, but haven't seen an analysis that seems to prove it based on numbers. (If you know of any such analysis, please share!)