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Indeed. You experience results of the progression of states of the universe. It feels like you're making a choice, but that's illusory. Not so much "assume away" free will, but "dissolve the concept" and recognize that it's meaningless.
Or, at least that's the case in a universe where Omega can perfectly (or even near-perfecty) predict your "choices" - choice is meaningless if it's that predictable. It's not actually proven that this is possible, or that our universe (including consciousness) works that way.
How else would it work? Where is the decision going to come from that Omega can't see?