Eliezer has repeatedly stated in discussions of NP that Omega only cares about the outcome, not any particular "ritual of cognition". This is an essential part of the puzzle because once you start punishing agents for their reasoning you might as well go all the way: reward only irrational agents and say nyah nyah puny rationalists. Your Omega bounds how rational I can be and outright forbids thinking certain thoughts. In other words, the original raison d'etre was refining the notion of perfect rationality, whereas your formulation is about approximations to rationality. Well, who defines what is a good approximation and what isn't? I'm gonna one-box without explanation and call this rationality. Is this bad? By what metric?

Believe or not, I have considered the most inconvenient worlds repeatedly while writing this, or I would have had just one or two cases instead of four.