This seems like an interesting point. If either time or causation doesn't work in the way we generally tend to think it does then the intuitions in favour of CDT fall pretty quickly. However, timeless physics is hardly established science and various people are not very positive about the QM sequence. So while this seems interesting I don't know that it helps me personally to come to a final conclusion on the matter.
Consider this altered form of the problem:
Omega offers you two boxes. One is empty and the other has one thousand dollars. He offers you a choice of taking just the empty box or both boxes. If you just take the empty box, he will put a million dollars in it. You decide that you can't change the big bang, and given the big bang his choice of whether or not to put a million dollars in the box is certain, so you can't influence his decision to put the money in the box. As such, you might as well take both boxes.
How can you have control over the future but not the past if the two are correlated?
I have sympathy with both one-boxers and two-boxers in Newcomb's problem. Contrary to this, however, many people on Less Wrong seem to be staunch and confident one-boxers. So I'm turning to you guys to ask for help figuring out whether I should be a staunch one-boxer too. Below is an imaginary dialogue setting out my understanding of the arguments normally advanced on LW for one-boxing and I was hoping to get help filling in the details and extending this argument so that I (and anyone else who is uncertain about the issue) can develop an understanding of the strongest arguments for one-boxing.