If you reprocess waste for potentially usable fuel, the amount of stuff that needs to be discarded is quite small. Like, we could probably put everything we've

If you reprocess waste for potentially usable fuel, the amount of stuff that needs to be discarded is quite small. Like, we could probably put everything we've ever accumulated in the US in fly ash pond of an average coal plant, easily. Obviously that is a bad idea but just to give you an idea of the size of what's needed. Also yes, I'm sure waste disposal is factored into nuclear plants. It's usually coal plants that get the free pass to spew radiation into the air, resulting in tens of thousands of deaths annually. (note that there is a fair amount of low-level waste generated that tends to inflate the waste output figures... you need to do something with the wrenches and shoe covers and stuff that get some neutron activation, and there's a large volume of that stuff but it's nowhere near as dangerous as spent fuel.)