Which means that any institution that has this kind of post-receipt tip is running the card as a credit transaction. As is verified by the fact that I’ve never entered a debit card PIN for a restaurant transaction where the card is taken away by the server to the terminal, swiped, and signed later.
Trust me. Any debit instrument used in the current US retail environment can be run as a credit transaction, in order to support credit-style transaction protocols.
I have a square mag stripe reader in a drawer somewhere. When it was first introduced one of the target markets was being able to accept credit/debit payments from your friends (e.g. to “square up” after a group night out). The reader was free and the fees are somewhat reasonable for that purpose (I recall 2.75% of a swiped transaction). I don’t think I’ve ever used it. The EMV/tap reader was something like $10 so I passed.