> AlphaGo can play go but it cannot appreciate the beauty of the game

On the contrary, appreciating the game is the core of what AlphaGo does. In order to search the tree of moves it learns how to play (expand search) and how to evaluate (cut off branches of search). I believe it might appreciate the game on a deeper level than humans, in its own unique way. Of course it can't appreciate the social aspect of the game and all that comes with it.