Kirby wrote:
I can't get past the idea that, in go, the objective is to win. Everything else is not the objective, but possibly a means to get to the winning state.
In game theoretical terms, go is a zero-sum game: you win or lose. Point differential doesnot matter. Tesuji does not matter. Creativity does not matter. A win matters.
If I am playing a game without thinking of winning, I have to ask myself, "why am I spending my time with this?"
Hey Kirby, I wanna reply to the feeling you described here.
I like to think about the term "a game of Go" as two different things. Two things that affect directly the difference between our views (or so I think).
1. A game of Go as in the game me and my opponent are playing right now. the stones on the (virtual) board between us. In this game of go, the objective indeed is to win, just like you wrote. All your moves should lead to this. All your calculations are made to give you the lead, in order to get that W when the game is finished. This is how I think you see it. Now, other than that we have...
2. A game of Go as in a more general sense. The game that is defined by those simple rules, that every player that plays it tries to master. Your goal in participating in this game is to master as much as you can. To learn, to improve, to look up to some place and know that you will get there, some day. In this "game of Go" we have all the games of the first kind that we play, and it changes the meaning of each and every one of those games. I'll explain why.
If you feel that you play
2, then during a game of
1 you try to achieve more in order to complete
2. This is easier to explain in new players' games.
Take this-
$$W
$$ -------------
$$ - . . X O 1 .
$$ - . . a X O .
$$ - . . . X O .
- Click Here To Show Diagram Code
[go]$$W
$$ -------------
$$ - . . X O 1 .
$$ - . . a X O .
$$ - . . . X O .[/go]
If you play
1, then missing 'a', leading to

playing there, leading (theoretically) to you losing the game, will be devastating.

If you play
2, then you might not feel happy about the loss, but now you learned that you have to block at 'a'. Next time this will happen, and you will remember this, you will be very happy. You have learned, implemented it into your game, and now thanks to that you won.

That is a much better feeling than, say, white playing 'a' but you still winning, and next time maybe forgetting it again... Even if you won the second game as well.
Now just think about the difference between us and 7-9 dan players... Think about the difference between us and professional players... There is so much to learn! Maybe it's no longer things like 'a' from the previous diagram, but instead it might be correct use of force, or maximizing aji, or maybe just playing mid-game for a better position in endgame. Ever read a book where the professional player says "'a' only move", or "if w play here, b play there", and you are completely baffeled as to why it is like that? Just like 'a' from the diagram to that new player. This is what keeps me going, and this is why I enjoy good games - where I played all those things I learned successfully, even if I lost, because next game I'll play what I learned from this game and get a better result. It brings me a bit closer to (theoretically) mastering the game. The fact that you never will is even better, because (again, theoretically) you will be interested in it your whole life.
Sorry about such a long post, and I hope that I got my point across...