I dropped discussion of strategy vs. tactics because it seemed from the very start that we were using them differently. I was instead talking about intuition vs. calculation. What do you call "moderately deep" for computers? What kind of moves can a human dismiss as obviously bad that a computer can't suss out when looking 10 moves ahead? My point is that this type of determination that humans are capable of would fall under "intuition". It's something that is much more difficult or even impossible to emulate in an algorithm.
I think that strategy and tactics should be equally important at lower or average levels of chess play, and I don't really know which would matter more at the high levels. I also find your last sentence totally confusing, but that might just be me not understanding what you mean by "strategy". But even looking back at what you were saying about your definition of strategy, the sentence still doesn't make sense. You said that you use strategy to describe the things that you can't calculate but must instead intuit. If humans with intuition/strategy have an inherent advantage over machines, that seems like a very good argument for the "strategic-ness" of the game.
Yes, but what I mean is that, if
all humans all have that advantage over a machine, then it doesn't really make the game more strategic, because we can all do that anyway.
What I'm trying to say is simple but I'm having trouble putting it into words. Let me try giving a silly example. Let's say we wanted to play a game, where each player looks at a picture and announces the number of birds in it, and then multiplies two huge numbers. Each player gets 10 seconds to count the birds, and then scores 30 points for the correct answer and 0 for an incorrect answer. (The pictures have maybe 0-5 birds in them, so that part is trivial for humans.) Then you get 20/n points for correctly multiplying the huge numbers, where n is the number of milliseconds it took you to multiply them (you get 0 for a wrong answer). Now obviously in this game, if it is played human vs. computer, the human will most likely win, because the computer will have a lot of trouble identifying the birds. If you just look at the human vs. computer case, it looks like the game is all about correctly counting birds. But when played human vs. human, it's just a contest to see who can multiply fastest, because the bird counting part is trivial for humans.
Okay, so what I'm saying is that, I expect there are aspects of chess that are trivial for humans, but hard for computers, that might give us the false impression that the game is more strategic than we might otherwise think, if we just base its strategic-ness on the results we get by playing against computers. Does that make more sense? In other words, the human vs. computer case makes it look like a strategy game, while in reality, the human vs. human case is tactical (and usually we only care about the human vs. human game). I don't know enough about how computers (or humans) play chess to know if that's actually the case in practice, but it feels like it should be to me.