Expanding on the Y>W=Z>X and X>W=Z>Y, I would split Abundant Commons at Y=Z, into Abundant Commons above the line and Deadlock below it. Then, the games equated are Deadlock and the PD, and those form a natural continuum.
Loosely and non-rigorously, x/0 is infinite, and so all games with W=Z are extreme forms of the corner games (unless X=W=Z or Y=W=Z). X~Y>W=Z gets you an anti-coordination game and W=Z>X~Y gets you a pure or relatively pure coordination game (Let's Party).
Y>W=Z>X and X>W=Z>Y are interesting, because they equate games as different as the PD (or Too Many Cooks) and Abundant Commons. I would describe this game as more similar to the Abundant Commons than the PD, as Flitz/Flitz is a perfectly acceptable equilibrium. The value transfer here is neither hyperefficient nor inefficient, but merely efficient.
The triple equalities here are equivalent under name change, so, WLOG, let's take X=W=Z. Then, there are two games: Y>X and Y<X. Looking at the diagram, X=W=Z>Y should resemble Studying for a Test, while Y>X=W=Z should resemble the Farmer's Dilemma.
The former game has a primary theme of avoiding Y, and so, while Flitz/Flitz is an equilibrium, I would expect to see more Krump/Krump, as it is never beneficial to play Flitz when there's any risk of Krump.
The latter game is more complex, but the equilibrium you actually see is Flitz/Flitz, because the only way to get Y is if you play Flitz.
Finally, with all four equal, there is no longer much of a game. All strategies are equilibria, the payoff is identical in each case. This is the trivial game.
I think your 5% figure of KABOOM given retaliation fails to condition on kaboom.
I would estimate an 8% chance of kaboom (broadly following prediction markets, going by a 10% chance of the order to nuke Ukraine and an 80% chance of it actually happening) and an 80% chance of retaliation. For KABOOM, either the West or Russia would drop the first strategic nuke. For the West, the probability is somewhere around 0.1% given kaboom. For Russia, while the probability of KABOOM given escalation is probably less than 5% (more like 1%, I'd guess), kaboom has happened, and so the probability of Russia dropping a strategic nuke is closer to 12.5%. And so, the final probability of KABOOM is closer to 0.9% than 0.25%.
While the author here has been credibly accused of abuse, and so I have no desire to raise his social status, I see this concept as valuable. In fact, it is a good model of at least one element of the vaguely-defined concept of privilege.
Take general social assertiveness. Men are generally Bob, while women are more often Carol. However, it appears that women look at all the B men are getting away with without suffering Y, and see men as Adam. On the other hand, men see the amount of B women can afford not to do without suffering X, and see women as Alice. Therefore, women talk about the male privilege of being able to do B, while men sometimes talk about the female privilege of being able to not do B (only sometimes, because an element of B is not complaining about it).
However, this does not change the fact that Bob is genuinely in a better position than Carol.
It is half of an iterated PD, and the other half is invisible to you.
It doesn't actually matter. We already know Omega's strategy choice, and it can't be changed.
The second paragraph is a bit handwavey. It's basically the bit that turns Newcomb into an iterated game. As there's this causal loop, it can be unlooped by converting into an iterated game, and using your action in the previous round as a proxy for your action in that round. So Omega plays based on your previous action, which is the same as your next one.
Thought the connection seemed obvious enough that I couldn't be the first to see it! Although there are some differences. Lewis sees the one-shot PD as a really weak Newcomb (weak as in the predictor is inaccurate), while I see the iterated PD as equivalent to a far stronger Newcomb.
Ok, that's satisfied my curiosity as to what happens if you push the button without codes, and so I am not going to push the button.
It's a shame I wasn't able to use a time loop to have this exist when I wrote my post on Newcomb's problem being an iterated PD.
This concept is exactly what I needed, and it's explained far better than I did.