1. Reprocessing is a better technological solution.
2. That waste is much safer in it's current location in a dry cask in the back lot behind a power plant than it would be on even the safest rocket.
3. Even if we punt waste disposal or reprocessing to future generations, we are still better off stacking waste in dry casks in the back lot behind power plants than burning coal.
Truth though: I think Gundam 00 showed a shockingly plausible future (sans mechas, most likely) for our planet if we do not get over our reliance on fossil fuels. Global conflict on a scale that makes WW2 look like child’s play is an inevitability if we cannot mitigate the environmental impact and eventual depletion of fossil fuels, and that includes support to help less developed nations move away from them.
For a lot of plants, an anonymous cyberattack could probably do it. That'd be way worse than an attack to geostationary, which very few actors could manage, and probably nobody could pull off anonymously.
Space junk seems a more serious problem:
https://physicsworld.com/a/space-debris-threat-to-geosynchro...
I've seen various proposals to clean it up but it'd take some work.
https://en.wikipedia.org/wiki/Geostationary_orbit
Except, as the parent noted, very briefly during the equinoxes.
For economic reasons you pretty much have to use phased array transmitters, with a reference signal from the ground to make it coherent, so if the beam gets repointed it gets a lot more diffuse than that.
But as others have pointed out, why would you bother with building space based nuclear plants and then converting that energy to light when you could just use the sun?
Earth is huge. At the rate reactors create waste, the amount of land consumed by storing it is staggeringly low (the higher risks are transportation, which unfortunately the rocket idea doesn't solve unless we build a dedicated rocket site next to each reactor). Low enough to justify the risk-over-time of securely sequestering it instead of throwing it away.
The fuel itself is just a small part of it.
But I think the real problem is emotional. People are afraid of mushroom clouds and mutants.
They don't say that because that's not how we're wired. We come up with better sounding arguments to believe. But what need to be solved is the emotional problem.
throw the waste in a bucket strong enough to survive hitting earth at terminal velocitty. place bucket in spacex falcon9 rocket. launch rocket into orbit with escape velocity. watch nuclear waste vanish into vacuum of space forever. if crash, collect bucket and restart with new rocket.
financially costly? yes. solves the 'what about in 5000 years when someone opens it or it leaks?' questions, yes.