We have enough minable nuclear fuel to sustain our current power needs for a couple billion years. And with enough technological gains, we can extend that to well past the time that the sun has died. Hence, it is safe to consider it renewable.

Doesn’t invalidate your point, but I just wanted to point this nugget of info out.

Not true. The prices are higher because less fuel is available. You can’t burn what ain’t there.

Plus, the increased fuel prices mean alternatives become more attractive. This stimulates investments into these alternatives. Hence the price increase speeds up the transition to better technologies. This is why an emmision tax could work.