I'm denying CDT, but it is a mistake to equate CDT with Eliezer's opinion anyway. CDT says you should two-box in Newcomb; Eliezer says you should one-box (and he is right about that.)
More specifically: you assert that in Newcomb, you cause Omega's prediction. That's wrong. Omega's prediction is over and done with, a historical fact. Nothing you can do will change that prediction.
Instead, it is true that "Thinking AS THOUGH I could change Omega's prediction will get good results, because I will choose to take one-box, and it will turn out that Omega predicted that."
It is equally true that "Thinking AS THOUGH I could change the lesion will get good results, because I will choose not to smoke, and it will turn out that I did not have the lesion."
In both cases your real causality is zero. In both cases thinking as though you can cause something has good results.
I'm not equating them. TDT is CDT with some additional claims about causality for logical uncertainties.
You deny those claims, but causality doesn't matter to you anyway, because you deny CDT.
You're given the option to torture everyone in the universe, or inflict a dust speck on everyone in the universe. Either you are the only one in the universe, or there are 3^^^3 perfect copies of you (far enough apart that you will never meet.) In the latter case, all copies of you are chosen, and all make the same choice. (Edit: if they choose specks, each person gets one dust speck. This was not meant to be ambiguous.)
As it happens, a perfect and truthful predictor has declared that you will choose torture iff you are alone.
What do you do?
How does your answer change if the predictor made the copies of you conditional on their prediction?
How does your answer change if, in addition to that, you're told you are the original?