Even if you played chess with a multi-pronged attack, you're still ultimately gunning for the king. Your objective is absolute, and each side knows this. Your objectives within the course of a Go game is more fluid and ambiguous.
inflicting/preventing weaknesses, seeking/avoiding favorable exchanges, occupying/closing important lines.
Then all such long-term considerations suddenly become irrelevant when the game descends into a tactical melee.
At any rate, I don't see how the objective of chess (checkmating the opposing king) is any more absolute or less ambiguous than the objective of go (surrounding more space than your opponent).
All fluid objectives during a game of chess between strong players are still subordinate to the ultimate objective: capture the king. There's only one king on each side, so there is not much give. There are 361 empty space to choose from in Go.
There's only one king, but both sides have 15 additional pieces. One extra pawn is often enough to win, and in the majority of games between competent players one side resigns long before an actual checkmate is on the horizon.
If you want to exchange off the pieces and make a draw, you can. If you're only interested in playing surprising/paradoxical/beautiful moves, so be it.
In go, regardless of the handicap, or whether you want to win by more or lose by less, the objective is still to surround more space than your opponent.
In Go, the goal is to build a territory, destroying is not necessary (smany games finish with very few catpures).
I also like Chess, but I find this "building" philosophy fascinating.