Wow, this wiki is really coming together over there.
He is correct in saying that "halletauer" is part of the cultivar name. Right now, for example I use hops that were labeled HHT on the bag. This 3 letter abrevation is standardized for German hops. In my case it means Hallertau Hallertauer Tradition. The first letter is for the growing region and the last two are for the cultivar name. But when we buy hops we are generally not exposed to this labeling. Too bad.
Hops labeled Hallertauer can easilly be Hallertauer Tradition as well. I don't think it will ruin the beer if you get Tradition instead of Mittelfrüh, but there is some ambiguity.