What prevents a commercial "AI" security camera analysis firm from doing a decent job of linking footage of a store's customers to a likely subset of tokens, based on the knowledge of which tokens are sent to which store and how many tokens have been pulled off of the roll so far? Remember that you can design the token roll packaging so the easiest thing for a clerk to do is to pull off the rolls in the order in which they were shipped. Or -hell- you can design the token dispenser so that it phones home to the oracle that sent the roll to the store with the range of tokens in the roll when the roll is loaded into the dispenser (for "security purposes").
> It's the exact same process by which you buy lottery tickets in a world where they don't need to verify your identity when you redeem them.
I've seen many people buy lotto tickets. I've never seen anyone asked for ID. Perhaps the merchant is supposed to check for ID, but they don't. Relatedly:
> The clerk pulls a scratch-off ticket from the front of a ticket tape. The ticket contains a token identifier.
What prevents rolls of those tickets from falling off of a truck and either being handed out for free or at a substantial markup, no questions asked? [0]
In the real world, the system you propose absolutely will not function to the standards required by the people agitating for these systems. You can't "protect the children" if "children" can easily get their hands on anonymous access-granting tokens.
[0] The fact that this doesn't happen with lotto tickets often enough to be newsworthy is not a compelling counterexample. Stores make a decent amount of money selling those, and wouldn't want to get cut off from that revenue source by regularly "losing" shipments of tickets. What you propose doesn't make stores any money, so either you have to spend a bunch of money to induce them to carry the tokens [1], or you have to have harsh penalties for "losing" shipments of tokens. If you risk harsh penalties for choosing to sell the tokens, why even bother? Stores put up with the risk of selling booze because it's quite profitable... selling 5c or 0c tokens absolutely is not.
[1] Where does that money come from? From you and me, of course!