It would be prohibitively expensive just to launch a bit of it into orbit, much less to enough of it far enough into space that it won't just get recaptured and dumped back on us eventually. Plus, the process of creating the spacecraft alone (with near physics-defying fuel efficiency and carrying capacity, and more rockets than we have the physical capacity to launch, to boot) would create more pollution than gets carried off, per simple thermodynamics.
Also become sometimes rockets explode, and you don't want to be anywhere around the exploding rocket full of nuclear waste.
https://www.popularmechanics.com/space/a19666/we-cant-just-t...
https://astronomy.com/news/2016/07/heres-why-we-cant-just-ro...
Re:Nuclear waste is a solved problem
by entropicgravity on Saturday October 09, 2021 @01:00PM
(#28811449)
And then drop it into the sun. CO2 in space doesn't count toward global warming.
We sure as hell will never use the rockets for human panspermia if we keep expecting to power all this crap we throw out