Indeed. I have always pretended that this third one is Jackmanii because that seemed like what it should be as "the purple one".
But I had one that I bought tagged as Jackmannii, several years ago in another state, and that one actually climbed and wrapped its leaves around things, and bloomed a ton. This one shoots straight up, won't wrap around anything, unwraps itself when I try to assist, and falls over and grows straight down wherever I tie it. Weird. It also gets bigger flowers.
So anyway--they seem quite different to me, and I am inclined to think that this one is not what I knew as Jackmanni. It could be that the other one was something else though