I know the most common two-color (white based) corkscrews are called Prizenames but beyond those, do any other Prizenames have white? I think of those like the OP as a three color Special, and when I think of a Prizename, beyond the two color ones, I don't expect to see white. So, in my mind, a Lifesaver is a Prizename while a Liberty is a Special (both have three colors).
Am I confused?