Beyond that, I agree utterly about the notion that argument is too often seen as a sport or a "winning" game. The best arguments IMO are ones in which both parties are reaching out to each other, trying to make a point or communicate some idea. It's a contest, but it's also cooperative when everything goes well.
I think about the Wright Brothers, who used the old rhetorical trick of, when they reached an impasse, switching positions in an argument. That's the way to do it! You can be hugely invested in a position, but still be willing to challenge it.