There's nothing really to solve. Dry-cask storage can be used long term. The waste is secure, easily monitored, and if at some point in the future reprocessing makes economic sense that can be done too.
People don't remember the Hanau scandal of the 80s/90s.
It was the 'Atomic village' of Germany, home to the two largest nuclear companies of Germany (one was, funnily, called Nukem). Their managers were accused of taking bribes, selling radioactive waste for weapons, and mislabeling atomic waste for cheaper disposal (including just chucking it into the sea!). It's one of the reasons why the early Green party was so anti-nuclear, there was no trust.
Atomic waste can be securely stored, but there will always be corners to be cut to make a quick buck.
There's a German language summary here: https://www.deutschlandfunkkultur.de/hanau-der-anfang-vom-en...
"Secure and easily monitored" doesn't account for: Natural disasters, human error or human depravity (sabotage, shooting, terrorism etc). And what if the government breaks down for some reason? If for any reason the "securely and safely monitoring" gets neglected...
So no, "a few tons of nuclear waste" really doesn't capture the problem...
Burying it deep down in the earth is far safer. Sure, someone might eventually dig it up someday, but that'd be limited exposure in a confined area.
(Granted, the contents were not highly dangerous, but they would have been adequate for nuclear waste storage until at least now.)
https://en.wikipedia.org/wiki/Radioisotope_thermoelectric_ge...
Mind you, in comparison the waste of gas is CO2, which is creating an existential crisis. (There's also other wastes like lead and heavy metals, from anything electronic, that need to be stored _forever_. Lead and heavy metals don't decay. They are dangerous forever.)
[0] https://nda.blog.gov.uk/2017/04/03/how-much-radioactive-wast...