You may have noticed SMS messages and a kind of “auto-sign-in” on sites that use Link and Shop(ify), even sites you haven’t shopped at before.
This feels weirdly insidious to me, and I’m not entirely sure how they acquire your information in the first place, but you can delete your data from both services.
https://support.link.com/how-to-delete-your-saved-payment-information
https://help.shop.app/hc/en-us/articles/360058842072-Delete-your-Shop-account