A waste dump from a reprocessing cycle would be less radioactive than the original uranium in 500-1000 years. It's the plutonium that lasts 10,000's of years and a reprocessing cycle puts the plutonium back to work as fuel for the reactors.
Nuclear power is inherently too risky for its benefits. It creates too many opportunities for human error to cause irreversible damage.
When a solar farm gets hit by an earthquake it might stop working. When a wind farm gets hit by the storm of the century it might fall over. Nuclear reactors present existential threat and we have no need for it.
More important, once-through is not available. They closed Yucca Mountain so we have to do something else with the waste.