Anyway, more importantly, if that's so easy and economically viable [to recycle lithium-ion batteries], where is it? Where do people actually do this on a non-lab scale if it's so easy and economical?
Large scale production of lithium-ion batteries is a very recent thing (e.g., https://batteriesnews.com/wp-c...). There really aren't a lot of these batteries to recycle yet (despite all the hype about short lifetimes, the current tech of lithium batteries have proven to easily exceed ten year lifetimes, and are still going strong). There are some recycling companies doing business now, but as a general thing, people aren't going into the business of recycling batteries at a large scale without a lot of batteries at end of life to recycle.
Is it like this mythical "EV cheaper than ICE car" that leftist propaganda is chock full of, but which is conspicuously absent at any, you know, actual real real-world car dealership I have asked?
The history of technology shows that new technologies start at high cost, and cost decreases with time. As Neils Bohr said*, "the future is hard to predict, especially when it hasn't happened yet," but I'm old enough to remember $500 calculators. I'll put my money on cost decreasing as the tech goes down the learning curve.
(* also attributed to Yogi Berra, but Bohr said it first. And, as Berra said "I never said half the things I said.")