Ian Butler wrote:Even though I'm quoted in the OP as saying even lowly kyu players can have a style, I must change my vote

I now start to see the other arguments as true. And the main difference between the two "sides" is probably the definition of the word 'style'.
For me, the solution is probably this:
- If you play Go as a true game, meaning you play to win, play to find the best moves. You can have no style. You are solving the game and try to find the best move in every game, every position. I'm not even sure a pro can afford to have a style if he wants to handle Go as this.
- However, if you adopt a style (and you can do at basically any level, I believe), you no longer play the game to your fullest potential. Instead you play as to try to win the game ACCORDING to that style.
And I start to think even professionals might fall into that trap often. In fact, you hear it a lot, that some Go legends had a certain style, but as time went by, they played less according to their own style, and played more... to find the best move? I guess.
But, first up, as has already been pointed out, there could me more than one "best move" in any given situation.
How are we to know if go does not have trillions of solutions?
And even if there is only one solution to the game, does that mean that there is other worthwhile way to play it? It's not as if solving the game would render it unplayable for humans, as it would only take one tiny deviation at any point along the path to get into the unknown (from our POV).
It depends on how you see go and other such games. If, like me, you believe they can be a form of art, then style counts. Others might see them purely as mathematical science. Perhaps what really matters to them is results and not whether or not the results are aesthetically pleasing, so long as they are correct.
I'll use a chess analogy: quite often, a situation can arise in which you can finish the game in multiple different ways. From the scientific point of view, the quickest method would be the optimal; but what if one chooses a method that is not quite as quick, but just as certain, because it contains something that appeals to your artistic taste. Would that not be an expression of style? Karpov might have wrapped up a game by reducing it to an easy endgame; Kasparov might have chosen a flashy sacrifice; but the destination - forced checkmate - would be the same.
Therefore, assuming that go will never be solved and that even AI will be shown to have its limits, can we not accept that go has many paths, and that the way you travel through them can be a matter of style?
And even if one's play is sub-optimal from somebody or something else's point of view, how much does it really change things? Can we no longer admire the "Cosmic Style" of Takemiya just because AI might punch holes in some of his moves? Can we no longer respect the fighting spirit and riskiness of Lee Sedol's style because AI might deem some of his moves mistakes, even though they might shake the game enough to overcome his human opponent? Do we have to consign chess's "Evergreen Game" to the wastepaper bin for similar reasons?
No! I declare that go is sport and art and science, and that's there's room for many types of player and their views within it.