>> There's a problem to be solved, so let's attempt to solve it or at least compromise in good faith.

Validating their position is a form of acknowledgement that we understand it. That's a prerequisite to a "compromise in good faith". If someone feels we don't understand their position, they will not feel we are arguing in good faith.

>> The resolution to the problem is the most likely way to elicit positive emotions from me anyway.

But when you lose an argument does it feel better (less bad) if the other person understood your point rather than just ignoring it? It kinda sucks more to make a concession when the other person doesn't even know we've made one.