So why did you ask me what I meant about counterfactuals? If you take the TDT assumption that identical copies of you counterfactually effect each other, then Newcomb has counterfactual dependence and Lesions doesn't.
I'm not sure of your point here.
I don't think there is any difference even with that assumption. Newcomb and the Lesion are entirely equivalent. Modify it to the situation discussed in the previous discussion of this topic. The Lesion case works like this: the lesion causes people to take two boxes, and the absence of the lesion causes people to take one box. The other parts are the same, except that Omega just checks whether you have the lesion in order to make his prediction. Then we have the two cases:
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?