Many years ago I converted an old Delta bow quiver to what is now the GFA. I must have used it 20 years or more. I had problems with it using a back pack...noisy. And I found that turkeys could easily see my bright fletching. I got an Arrrow Master and really love it. The two best features I like about it are that the arrows are completely covered and are, therefore, protected from the weather and beeing seen and secondly it is the best quiver I have found for use with a back pack. I still have my GFA type quivers and use them at shoots and my wife loves hers and doesn't see a need for the Arrow Master. I use them interchangeably. I also like the way the AM allows you to get an arrow out. The GFA, with the grips can sometimes cause too much motion. I like both quivers and like most things each one has its trade offs....but if I had to choose I probably would go with the AM....at least today. My only real complaint about the AM is that the foam in the bottom of the quiver could be denser and less prone to wear and tear of the bhs being taken in and out.
By the way, I have made and used fletch covers for my GFA type quivers and have lost every one on them due to the brush pulling them off. Bottom line is that they are both very good quivers so your personal needs should prevail. If you use a back pack or day pack then, for me, the AM gets the nod.