Just for a moment, let us consider TDT as a property. By defining the rules around the TDT property, the question is not whether or not the agent should 1 box or 2 box, the question has become whether the agent can fool Omega in such a way to maximize its utility. As long as we grant that Omega can always simulate TDT correctly, then the choice becomes clear- if omega correctly recognizes the TDT trait, or we are unable to calculate, we one box B, otherwise we two box.