Your first article is provided by a pro nuclear propaganda association. It's almost certainly also false. And ignores conveniently how much more unrecycable nuclear waste France was producing in 2016, waste we can not store safely.
I have not seen them refuted on HN. I would be interested to see a refutation - and if a refutation is posted every time, it should be easy for you to find.
But if you are honestly interested, read the greenpeace criticism of these studies to understand how the statistic might be false and how it can be disputed, https://wayback.archive-it.org/9650/20200415093014/http://p3.... Sure, it's easy to ignore that by looking at where it's coming from, but that goes both ways.
Yeah so nuclear waste is recycled in large part. See Mox. But I agree, I wish we'd use FNRs too. Too bad the Green party shut down the first reactor (SuperPhenix) in the 90s.
"waste we can not store safely."
Did you do your homework? See CIGEO.
All unsafe waste is by definition recyclable because its viability as fuel is what makes it unsafe.
If it is unviable as recycled fuel then it is quite safely storable and is no more dangerous than the tons of toxic chemicals we store regularly from manufacturing and mining byproducts.
- Actinides (neptunium, plutonium, americium, curium, leftover uranium). Most of these materials are fissile or can be bred into fissile materials. Fuel recycling processes reclaim and reuse these elements.
- Fission products. These are the lighter elements formed when fuel atoms split apart. Some of the components that are most important from a waste management perspective are strontium 90 and cesium 137.
Fission products cannot be used as nuclear fuel. The fission products of greatest concern are also much more toxic than ordinary chemical wastes.
The LD50 for arsenic in rats is 15 milligrams per kilogram: https://whs.rocklinusd.org/documents/Science/Lethal_Dose_Tab...
The LD50 for strontium 90 in hamsters (90 day survival) is 2 millicuries per kilogram: http://www.rrjournal.org/doi/abs/10.2307/3573895
Given strontium 90's specific activity of 142 curies/gram (https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/196800...), in mass terms that's 14 micrograms per kilogram for the LD50. Gram for gram, strontium 90 is about 1000 times as acutely deadly as arsenic, or three times as acutely deadly as the nerve gas sarin. There are few industrial chemicals that have toxicity comparable to or greater than nerve gas, and they (like spent nuclear fuel) have special regulations and require special handling.