What are you talking about. The description in the parent site of the one I linked says specifically, “Currently, most spent nuclear fuel is safely stored in specially designed pools at individual reactor sites around the country.”

And no sh*t it’s not a long term storage method. But it’s where most of our waste is right now in the US.

And no, I’m starkly anti-fossil-fuel, but nuclear is 100% not cleaner unless you ignore the waste entirely. There are so many renewables and other options for cheaper, cleaner energy. But companies don’t count waste disposal as an operating cost (only short term storage), so nuclear looks cheap to investors because 1 million years kind of longterm isn’t part of their investment strategy. And that’s how long we need to be able to store a lot of this stuff unless it’s fully reprocessed down to safe levels of radiation, which has proven totally unprofitable in the short-term (decades-term), so it’s never been done.

https://www.nrc.gov/waste/spent-fuel-storage.html