I got roughly 12k, which is a lifetime for me. (I bottle exclusively)
Zooming in on the photo, they look unused. It looks like the edges flair out, which is how you put it on the bottle before you press it onto the bottle.
I would imagine that it wouldn’t be difficult to press used caps back into a useable shape, but you then have to wonder if they are clean and not too weaked by use.
There is also a rubbery seal (silicone?) on a lot of caps, and I’d be worried that the seal would be damaged in the recycling.