So sort of, on all points.
My experience has simply been I have had vehicles that didn’t have titles, that I wanted a title for, or I had a vehicle without a title I wanted to scrap. The salvage yard wouldn’t take them without a title, or at least an affidavit of lost title.
For the former, an affidavit is filled out and submitted at a vehicle license agency. A search is conducted using the VIN, and if it turns up no liens or registration records, a new title is issued.
For the latter, an affidavit is filled out, and you call the sheriff. The sheriff comes by, inspects the vehicle, calls in the VIN (if it has one), and if it comes back clear, you get a document that allows the scrapyard to accept the car as scrap without concern about illegal activity.