Well, GAA and the training department at GF are closely tied to each other, or even interchanging.
The above statment is true only if you are a "speculations fan"!!
Up to the minute, GAA is not overtaking or replacing GF's training department by any means. Could this happen in the future?? I don't know, I only care to share facts not fiction! And the fact here is that GAA officials have mentioned in the media something about plans to offering advanced training to GF staff BUT they are not ready-to-execute plans. Things will take time to develop.
Since Mumtalakat is the owner of both GF and GAA, I see nothing wrong with the map! If you've ever been there you will notice that there is nothing carrying the name of GAA officially. The only visible proof of existance of GAA is few scattered "paper signs". So don't forget the "under formation" trace! No rush.
I think when the "careers" section in that website is open, many things will be clearly understood.