If you know that the other (deterministic or probabilistic) agent is a clone of you with exactly the same set of inputs as you do, you know that they will do exactly the same thing you do (potentially flipping a coin the same way you do, though possibly with a different outcome if they are probabilistic)
That isn’t literally true of a probabilistic agent: you can’t use a coin to predict another coin. It is sort-of true that you find a similar statistical pattern....but that is rather beside the point of counterfactuals: if anything is probabilistic (really and not as a result of limited information), it is indeterministic, and if anything is indeterministic, then then it might have happened in another way, and there is your (real, not logical) counterfactual.
That isn’t literally true of a probabilistic agent: you can’t use a coin to predict another coin. It is sort-of true that you find a similar statistical pattern....but that is rather beside the point of counterfactuals: if anything is probabilistic (really and not as a result of limited information), it is indeterministic, and if anything is indeterministic, then then it might have happened in another way, and there is your (real, not logical) counterfactual.