>> There is not a digital record of your ID being used to purchase alcohol at that exact location at that exact time.
>Are you sure about that?
Yes. I am certain that the middle aged woman who half-glanced at my driver's license for 2 seconds 3 months ago did not memorize my driver's license number and enter it into the computerized list of all driver's license numbers displayed by customers who paid in cash and left on a bicycle without any kind of identifying plates, before proceeding to remember me as a customer and not ask for the ID anymore.
I'm not asserting there's no record of any kind of me being there - the cashier can attest to as much. What I'm so confident of is that I can do this and know with 100% certainty that my ID (ssn, drivers license number) did not get stored as a digital record, such as the database entry correlating to that purchase on that day at that time in that store.
The reason this cannot work similarly online is that the user has no way of knowing with certainty that their identifying information (IP address, facial scan data, photo of driver's license) is not being stored, whereas I do know with absolute certainty that my identifying information is not being stored for the purchases I do not want being tied to me in a database.