I was not arguing for coal in any way I am merely pointing saying Nuclear is not as clean as pro nuclear people argue.
Yes the NORM released by Coal and other human activities is substantial, However it is not remotely comparable to Fukishma, Chernobyl and bikini atoll . I don't trust any of the world governments to build a safe reactor and I don't share your optimism on that we will find ways to handle the waste. Instead of trusting luck that we will find clean ways to handle, we can start building plants when we do find them, .
It is recency bias to think we will be able to keep technologically innovating at the same pace we have in the last few decades or even few hundred years, most of our history innovation has happened rapidly only under certain conditions, it may be that those conditions will continue to favour, or maybe physical limits such as moore's law slowing down, resource limits stuck on single planet economically or socio political structural problems can slow down innovation substantially, Any of them could be a great filter in the Fermi Paradox sense.
We'd certainly like for those people to keep the mess stored safely, but there are incentives for them to not do so, even assuming they had the ability to.
Also, I highly doubt that if humanity makes it even a thousand more years that we'll have trouble finding a productive use for depleted uranium or other spent fissile fuels. They have many interesting properties.