These are interesting examples of using game theory to model certain situations but none of these examples show that game theory "tells us" something about the world. In broad strokes, game theory claims to have a descriptive model of human behavior but people very rarely follow the predictions of game theory (and that is even when you're in situations that are simple enough to have a stab at applying game theory). This is particularly true for Nash Equilibrium, which it seems most of your examples rely on.

And I think in the cases where the NE are predictive of actual play, then there's something intuitively obvious about the NE, and that you could have arrived at the same conclusions without using the tools and machinery of game theory. This is the point that Ariel Rubenstein makes (http://arielrubinstein.tau.ac.il/papers/74.pdf) when he says that game theory is useless.

That's not to say that I believe that game theory is never useful (for certain limited settings, like repeated auctions, it works well), nor do I think that it can never be useful (recent work in behavioral game theory is promising in my opinion) but I'm skeptical using these counterintuitive claims as examples of its use.