You're making the mistake of crowning American-style "PGA" golf as the true form of the game. While the perfectly manicured grounds, tree lines holes, and crushed marble sand may be prettier to look at and create a different type of playing style, British Open golf is still the closest and purest thing to the original game as it was founded. Besides, most of the top Brits and other members of the European Tour play those type of courses in those type of conditions on a weekly basis. It puts a premium on a different style of play... ball striking, accuracy, creativity around the greens, controlling shot trajectory, managing mistakes, etc. American golf has become too much "tee it high and let it fly", worry about lie later on.
If anything, I think there needs to be another links style major that the Americans play in. The US Open is the ultimate test of American style golf, The Masters is the ultimate tradition, the British hearkens back to golf's birth, and then the PGA is just kind of bleh... I'd like to see an Australian Open or Asian Open or something else to recognize the infusion of talent from other parts of the world.