As demand goes up, so does supply, as additional reserves are prospected for and more costly uranium sources become economically viable.
There's not much reason to prove reserves if you won't be able to profitably mine them.
There just isn't much at current prices, but fuel costs are not significant so prices cam rise.
With that assumption, fission can last for a very long time if we get uranium from the oceans, and burn it in fast reactors. The oceans hold four billion tons of uranium, and with fast reactors we'd use it a hundred times more efficiently than we do today.
It's part of the reason fusion's so sought after - it doesn't result in anything bad or that has to be carefully sequestered.
(Apart from extraordinary heat I suppose. Perhaps there's an argument the actual reactor would always be a pretty risky place. But any incident isolated at least, worst case a remote industrial building burns down beyond economical repair.)
Also, if I understand correctly, the waste products are a lot less nasty.
I'm rather glad that doesn't apply to the fusion reactor in the sky that we'll be fully dependent on for a while yet.
Public perception > reality.
Look at hydroelectric. Terrible for ecosystems, decent number of deadly failures over the years, way better perception and less pushback from the public than fission.
https://www.businessinsider.com/dam-safety-statistics-risk-o...
As nuclear fission, nuclear fusion might simply not be used because of that scary word alone.