Here's my understanding:
Hallertau is the variety of hop. If it is grown in the Mittelfruh region, it may be labeled Hallertau Mittelfruh, but it is the Hallertau variety. If the hop is labeled only Hallertau, it may have been grown somewhere else, but it is the Hallertau variety.
The other hops that include Hallertau in the name, such as Hallertau Hersbrucker or Hallertau Tradition, are varieties that have been bred from the Hallertau variety, bred usually to be more disease and fungus resistant than Hallertau, which was ravaged by disease in the 1970s. They are largely interchangeable in terms of flavor and aroma. Most Hallertau's will have AA ratings of 3.5 - 5%. The homebrew store should have the hops labeled and, most importantly, the AA% listed. Just plug in the correct AA% into your brewing app or software.