Woz is embellishing for dramatic effect. Decades ago, picture ID meant anything. You could get on a plane sometimes with a school ID. Before holograms and bar codes on driver's licenses, all IDs were presumed to be garbage and just a way to get the spelling of a person's name if in fact the ID was real.

Woz was not in custody and is therefore exaggerating about being Mirandized. He played a prank by giving his clown employee ID. It was in Casinoland where people had goofy job titles and this wouldn't have been so crazy. Nothing to see here.

That said, if he had been in actual trouble or has been committing forgery, the clown ID would have been a bad move.