You have apparently got off to an excellent start, since you went to a pro shop where you could shoot the bows, and be sure that they fit you and you could have your form checked, etc. That will do more to get you shooting with consistent accuracy than anything else. I have owned probably 3-4 times as many bows as there was any real reason to own, and from shooting them all, I have come to some conclusions which I probably wouldn't bother to tell you, except that many other people with lots of shooting experience, and a certain measure of objectivity seem to say about the same thing. The most important thing about shooting accurately is the archer, shooting form, and how consistently the shots are repeated. Bow fit is much more important than bow brand, although certain bow brands seem to have their less than objective cheer leaders, who continue to express the idea that the name on the bow is the only important thing.

Either of the bows you mentioned should perform well for you if they fit you well, are tuned well, and are shooting good quality arrows. You could probably hunt for many years and not be at any disadvantage from shooting them.

Yes, the top of the line bows from Bowtech, Hoyt, and Mathews are somewhat better made, have more precise and extensive machining of the risers, cams, limb pockets, etc. They may have a bit better balance, less recoil, etc. Most newer bows are plenty quiet enough for any hunting purpose, so that is not that much of an issue. If you like a bow, it fits you, and you shoot it well, then just enjoy it and don't look back. If you think you need something else a while later, then you have to decide if another bow would really let you do something that the Golden Eagle or the Browning would not let you do. I still have a bow that most guys on these forums would consider ancient. It is nearly as fast, just as quiet, and just as accurate as any of the newer bows that I have gotten to experiment with since I bought it. It even out-shot two bows from a very famous manufacturer that really, really likes to blow its horn.