I would not patronize a business that required me to wear gloves to examine used records.Why not? Even if you're considerate and careful, the next visitor may be a buffoon. They're everywhere, as any shopkeeper knows, and you can't keep them out because they don't wear signs around their necks. Many of them aren't even aware that they're buffoons, ignorance being in the nature of buffoonery. You often can't tell that someone's an idiot until they actually do something idiotic, by which time it's too late.
Asking customers to wear gloves alerts the casual shopper that care in handling the goods is expected. It gives the serious buyer confidence in the quality of the goods. Finally, it may annoy the buffoons enough to send them to some other, more trusting (and less careful) shop.
Personally, I'd go out of my way to support a business that was this serious about selling only the best quality goods.