The AP has it exactly right. In common use, people refer to the plane(s) as Air Force One. They don’t get into minutiae about call signs. Within the Air Force it has more meaning, but my Air Force officer uncle also called the plane Air Force One.
Everyone who isn’t being rediculously arcane knows what it means, as recognized by the style guide.
My point was that JOURNALISTS should know the correct designations and differences between. An Air Force officer certainly should as well.