This is also why mass expansion of reprocessing facilities is completely untenable.
Liquid / molten salts can be reprocessed "online" and the fission products extracted (yeah, handwaves a LOT of chemistry), so you don't get these partially transmuted solid rods.
Even if you have solid rods or solid pebbles doing the primary power, maybe you can have a secondary on-site molten processor to take care of the waste without it shipping.
One of the annoying aspects of arguing with pro-nuclear people is their blind spot for reprocessing/waste. It just gets shrugged/handwaved away, but to the voting public, having a reactor that produces no waste in the traditional solid fuel sense would be a political boon.
The real issue is that nuclear simply isn't price competitive, it barely beats coal. I would like it to be otherwise.
It would be nice, but the list of reasons which are sufficient to stop it happening is very long.
E: "Cesium dissolves easily in water."[1]
[1] https://www.epa.gov/radiation/radionuclide-basics-cesium-137
Vastly oversimplifying: two versus three dimensions.