Well…at least at the place I am using, as I walk through, I see several kinds of locks. I ended up using a disk (puck) lock I sourced myself, but I have the feeling they may not care too much and that it is their corporate overlords that push whatever lock narrative.
I suspect each individual franchise enforces whatever policies they feel like, and that, depending on which you use, you can probably get away with whatever lock(s) you may already have or decide to purchase. They just need to see it and put a sticker on it so they know it’s from an actual customer as they walk around.