Short answer: Yup. Because Omega is a perfect or near-perfect predictor, your decision is logically antecedent, but not chronologically antecedent, to Omega's decision. People like Michael Vassar, Vladimir Nesov, and Will Newsome think and talk about this sort of thing more often than the average lesswronger.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
(I plan to make these threads from now on. Downvote if you disapprove. If I miss one, feel free to do it yourself.)