Sean's +1 and his profiles of some early examples of architecture/courses by the golden age greats has me thinking that the importance tie-ins have for us today reflects both the maturing of gca as an art-craft and the enhanced expectations of the modern golfer for a complete experience: one that combines the shot-making aspects of the game with the aesthetic pleasures of nature -- and does so seamlessly, and ideally (judging by the rankings) in a setting far from the maddening crowds, in near isolation with unspoiled scenery and the sea all around us.
Our ancestors seemed to be content with having merely a great game of golf, and wanted the architect to provide that without undue concern for appearing natural as opposed to constructed (which 'look' would usually come about of its own accord anyway, over time); but today we expect & demand more: not merely a great game of golf but a breathtaking (and yet calming) immersion for 4 or 5 hours in nature, into a bucolic world of its own. And we demand it instantly, not 'over time': we want it from the very moment a new course opens for play.
Perhaps the farther away we move from a natural and well-measured life -- surrounded by huge swaths of concrete and steel, racing around at an increasingly frenetic pace, tied to our cell phones, inundated with information/noise -- the more important it becomes for us, and the more we will pay for, the sane and quiet pleasure of time spent in nature, even if we know deep down that this 'nature' has actually been created and 'tied-in' by skillful hands.