Yeah, I think the people who are administering the doses don't have a backup person to give them to for the people who tell them they don't want one. A first come first serve method of distribution would generate massive interest and the narrative the old dumbasses are generating would switch from "Nobody wants one. This must be dangerous" to "Gee, everyone is getting this vaccine. I'd better pay attention so I can get one the next time the hospital has them."