As a paramedic, if you can't remember your name, address, and social security number, we'll take you to the hospital but you probably won't get a bill. Unless you tell the hospital, then we'll get a face sheet. Stay Safe, John and Jane Doe.
So if the paramedics take me to the hospital for a broken leg or something... and I claim that I don't remember any of my identifying information, they'll just treat my leg and let me go? They won't keep me around to get to the bottom of my sudden amnesia?