So what is your point? That no backwards causation is involved is assumed in both cases. If this scenario is for dialectic purposes, it fails: It is equally clear, if not clearer, that my actual choice has no effect on the content of the boxes.
For what it’s worth, let me reply with my own story:
Omega puts the two boxes in front of you, and says the usual. Just as you’re about to pick, I come along, grab both boxes, and run. I do this every time Omega confronts someone with his boxes, and I always do as good as a two-boxer and better than a one-boxer. You have the same choice as me: Just two-box. Why won’t you?
Sadly, we seem to make no progress in any direction. Thanks for trying.