I think a good "traditional banking" comparison would be money orders with the mint working as the "bank"

Person one mints a token worth however much (lets call it 100sats) and can send it directly to second person who then "cashes" that token at the mint and gets their 100sats.

But that token isn't actually written to the second person. Like a money order with no name on it anybody could pick that token up and cash it at the mint.

You could even mint a token, print out the QR code and actually treat it as a money order by printing out the QR and handing that piece of paper to another person for them to scan and cash it in anytime before it expires.