You guys just gave me an idea for an article, "What to do when a tire tech ****s up your wheels."
I used to be the guy Costco called when their techs did this. We call it "mounter drag" when the metal mounting head gets pulled downward by the tire and contacts the wheel. If the tech is not paying attention, the rotation will drag the head along the surface and leave a nice pattern of damage on the very outer lip, similar to curb rash.
Scraped up wheels can be refinished, and the finish will last for decades if done right. But if the refinisher is talking about doing it with the tire still on, walk away. If they're talking about hours and not days, walk away. That's doing it wrong. To properly refinish, you have to take the whole face back to bare metal, reprime, paint or pcoat, and then clearcoat the whole thing. If you try to redo just the damage, you get a tiny gap between old and new clearcoat. Water gets in that gap and hoses the repair.