You can walk up to the info counter at the entrance on each visit and pickup a new loyalty card. There's no registration required. It would be a bit wasteful

You can walk up to the info counter at the entrance on each visit and pickup a new loyalty card. There's no registration required. It would be a bit wasteful of plastic, but there are no privacy issues at all there. Of course, when you checkout with a non-cash payment, they can keep records of what you bought based on your payment info.