1) Launch failure could scatter nuclear waste over a large area
2) It takes a LOT of delta-V to fire something into the sun. It took the world's most powerful rocket to put the Parker Solar Probe even close to the sun and that was only 700kg.
3) If it doesn't get to the sun it could easily return to Earth accidentally.
We aren't exploding the nuclear waste in the form of a bomb when we launch it via satellite. It could also just fall into the ocean in case of a failed launch, where it probably won't be a problem.
That’s why the US launches from Cape Canaveral (avoids all land), and Russia launches from Baikonur in Kazakhstan (avoids Chinese airspace).
Now imagine not only launching rockets, but nuclear rockets. ”Hello Mr Putin, yeah the rocket we’ve launched, it only contains nuclear waste, not nuclear weapons, we promise!”