Your reformulation asks what counterfactual-you should reply to counterfactual-Omega that doesn’t even have to say the same thing as the original Omega.
Yes. If the agent doesn’t know what Omega actually says, this can be an important consideration (decisions are made by considering agent-provable properties of counterfactuals, all of which except the actual one are inconsistent, but not agent-inconsistent). If Omega’s decision is known (and not just observed), it just means that counterfactual-you’s response to counterfactual-Omega doesn’t control utility and could well be anything. But at this point I’m not sure in what sense anything can actually be logically known, and not in some sense just observed.
Yes. If the agent doesn’t know what Omega actually says, this can be an important consideration (decisions are made by considering agent-provable properties of counterfactuals, all of which except the actual one are inconsistent, but not agent-inconsistent). If Omega’s decision is known (and not just observed), it just means that counterfactual-you’s response to counterfactual-Omega doesn’t control utility and could well be anything. But at this point I’m not sure in what sense anything can actually be logically known, and not in some sense just observed.