No, they don't have to wait. The ambulance company was sued in the past for doing just that, so they answer every call. And laws were enacted, not for the whiners but for the legitimate errors by medical personnel, which carry over to allow the whiners to abuse them.
As I said, there are legitimate medical issues requiring immediate assistance, even by the whiners and abusers. And the whiners and abusers shouldn't have to grovel to receive it. But they should follow the rules and they should not seek unneeded special priorities under circumstances that don't require them, taking resources away from others who actually DO require them at that moment. We're not talking emergencies here, just routine care.
How does that work? What people who need immediate attention aren't getting it because of fraudsters and whiners? It is not illegal to triage.