Poker is a psychological game, far far more than any of the other games you have mentioned.
Sure. So is Liar's Dice, which is often played without using money for scoring.
The other games have objective strategies within the parameters of the game, where poker relies very heavily on assessments of the player(s) and their motivations, both within the game and outside the game.
No disagreement there. If you are playing seriously, that's true whether you are playing for money or for points.
Winning and losing is certainly a motivating factor, but financial gain or loss absolutely changes the dynamic and does so far more in the game of poker than the other games you've mentioned.
When was the last time you played bridge for serious money? You ever bid up a contract to force someone who was ahead a few dollars, and force him to risk going behind on the game or taking a smaller gain on this hand?
I agree with "more", but "far more" is very dependent on context. If you are gambling more money than you can afford to lose, that changes the dynamic, regardless of game. People change how they play when something significant is on the line.
You can continue to argue otherwise, but you're wrong.
As I made clear in my last post, I don't think we even disagree. Why would I be arguing with someone I don't disagree with? All I'm trying to do is offer a different perspective on what makes poker such an interesting game, and that it's not the money per se, but caring about the results that matters. You even partially agreed to this above: "I've played poker at stakes that didn't matter to the people involved and it basically removes folding as a viable option in anyone's strategy." According to you, playing for money didn't make for a good poker game, it was playing for stakes people cared about. You understood that yesterday, why not today? Do you think it's impossible that some people care more about winning for the sake of winning than the financial gain?
I find it odd how what seem to be very uncontroversial statements can stir up so many antagonistic responses.