Your original link does say “in stock” at least for me. “Usually ships within 4 to 5 days”, but this isn’t a Prime/FBA product so it’s not clear if that’s just business as usual.
Edit: What the hell with downvotes on a stated fact?
Edit: What the hell with downvotes on a stated fact?
Going to call bullshit on the claim that they're sold out in the US.