However, it's not _that_ dangerous. Even if containment is breached, it generally stays in the same place and can be collected and put back (happened a lot of times).
Asse II springs to my mind: https://en.wikipedia.org/wiki/Asse_II_mine An old salt mine used to store low/medium radioactive waste that's under threat of collapse due to ground water. There are plans for the retrieval, but success is far from guaranteed.
Also, honestly, I don't see the point. The amount of nuclear waste we produce is minuscule compared to other equally or more dangerous chemical substances. Besides wasting perfectly good rocket fuel, destroying it this way would rob us of opportunity to reuse it in the future - hell, we already know how to reprocess some of the spent nuclear fuel for next-gen fission reactors!
https://en.wikipedia.org/wiki/Breeder_reactor#Waste_reductio...
2) What monster could be left by stone-age people to us that modern technology couldn't handle?
Modern spent fuel processing methods are great and quite safe (vitrification / underground disposal). I can't imagine a newsworthy worst case scenario with vitrified containers.
2) As long as we assume that society continues on its current trajectory forever, then yes, there's nothing to worry about. But if it's true that we're in the twilight years of US dominance or relevance as a world power, then we could be in for a significant period of upcoming political/economic turmoil.
So here's another way to look at it: How would the monks and agrarian fiefdoms of the middle ages been at handling a monster leftover by the Romans?
I can't accept the morality of handing stewardship of spent nuclear fuel to my children and their children for a thousand generations. Would you still want to be caring for a monster left to us by the people who wrote on cave walls?
As far as a DGR, I'll believe it when a nation other than Finland has shovels in the ground to actually build one.