Back in the 90s when our family went on a big vacation abroad we were always advised to never agree to have our card carbon copied for exactly that reason. Though I think there was one gas station where we had to, because we were out of cash. (Back then ATMs were new, and POS was only for the rich foreigners. Strange that nowadays we run around with everything RFID/NFC and multiple cards. And yeah, this was before smart phones. Those were simpler times :) )