People need to get past the "points", and concentrate on the learning, and pattern recognition. When i quit worrying about how "fast" i solved tactics, my rating started going up.
Accuracy first, speed is a by-product.
Well said, indeed. I agree with both these comments.
Yes, a game of chess is trying to have it both ways. You are right about that. You have to not make a mistake, while at the same time, capitalize on your opponent making one.
You are refusing to acknowledge my point. I don't disagree with any of your eloquence about the uncompromising glories of chess. I only question the assumption that the only way to do a chess puzzle is to do it against the clock.