Komi(compensation given to the second player) is a recent invention(1900s) and has only gone up from 4.5 to the recent 6.5 or 7.5 in some tournaments, and yet black still wins over 50% of professional games. Knowing how much komi should be is equivalent to knowing how to play the best game.
As the board fills up tactics or 'tesuji' becomes increasingly important and many times there is only one correct move, computers have become better at this but they still can struggle over common life and death problems. End game is where computers really shine and can now play better than even the best players. Overall computers have taken a recent dramatic upturn in strength thanks to Monte Carlo probabilistic reasoning and are now within a few stones of professionals.
Seemingly, Go will become as chess is within our life times probably even within the next ten years, it will be another interesting moment in the advance of 'AI', but whether it will reveal anything deeper is an open question to me.
I find Go more interesting than chess because often, especially in the beginning, the analysis is less 'hard' or involves less reading of game tree possibilities but involves more 'soft' concepts like spacing, relative territory, trading territory for influence (whether to play on the third line or the fourth line), and is something more akin to art than science if I were to grasp for a metaphor.
Computers will likely enlarge the 'end game' that is be able to play better and better than humans the last part of the game and eventually play better middle game, and eventually only the opening will be where humans have an advantage until that too is taken by computation.
(I'm about an AGA 6 dan)