Technically, it's a "Sport Coupe" according to the Production Order for each car.
Also, technically, the Continental Division did do a public offering of a convertible in partnership with Derham. They were sent 3 convertible top assemblies for a 1957 Ford, but used only the one in the white show car. Somewhere I have the ad that ran showing Derham offering a factory-authorized convertible for $18,000. If I understand the term "hard top" to mean a car with a "B" pillar then they are in error. They probably all make the same error because they are all using the same software.
I have a friend there I can ask.
Farmington Hills, MI