What is good about recycling nuclear? I believe the whole "recycling" in nuclear was a similar ploy like for recycling plastic, in other words mainly greenwashing. The other reason for it being military.
Nuclear recycling is a uneconomical, multiplies (by a significant factor) the amount of waste. Admittedly, less radioactive, but still as toxic and importantly much longer lifetimes, so still needs to be stored for insane length of time.
Recycling of nuclear fuel, outside of helping remove the waste problem, greatly increases your energy reserves.
However, it got essentially scuttled in the name of war as control over access to nuclear technology, even for purely peaceful uses became the dominant doctrine.
No, it was scuttled because it made no economic sense. In the US, Carter's executive order was lifted a few years later by Reagan, but no civilian reprocessing occurred. Separated plutonium has negative value -- it adds more cost to fuel element manufacture than it saves in enriched uranium cost.
Nuclear recycling is a uneconomical, multiplies (by a significant factor) the amount of waste. Admittedly, less radioactive, but still as toxic and importantly much longer lifetimes, so still needs to be stored for insane length of time.