I remember as a kid (many moons ago) that my dad had one of those. I don't remember what logo it had on the reverse, but it DID have something along with "TUIT".
I've thought about doing those, but don't know yet whether we'll DUIT.
Bruce - One thought for using your sticky mat on the rotary. We do small plates on ours all the time - but as added insurance we put a small cut piece of plastic around the tag to be engraved as we diamond drag. We push the plastic tags right up against the engraved tag - you get more surface area this way & adds stability to the tag being engraved.