Any material that is still radioactive after a hundred years wasn’t that deadly to begin with. There is a strong link between ”hotness” and short half-lifes, fast-decaying extra spicy isotopes are..fast-decaying
Actually, those materials can be MUCH more radioactive in the beginning compared to 'conventional' nuclear waste, the half-life is just so short that you can let them sit for a couple of decades and then deal with it.
IIR, those "certain types of reactors" and their supporting infrastructure are (1) very handy for producing weapons-grade nuclear material, and (2) extremely difficult to operate (historically) without sundry environmental disasters.
Which problems make them considerably hotter - politically - than no-reuse type reactors.