I have a feeling including a parenthetical like that would invite more confusion than it avoids. "Oh cool, I guess my magical ESP powers are just one of the unlikely cases where I can be correlated with the hidden coin flips without any causal influence."
The unqualified version is more compatible with muddled thinking about ESP than the qualified version. Specifically, it outright excludes the possibility "No, you were just lucky" from consideration.
In this specific case, Pearl probably means something more precise by it (like correlations between nodes in a particular causal model).
This exception applies in that case.
People want to tell everything instead of telling the best 15 words. They want to learn everything instead of the best 15 words. In this thread, instead post the best 15-words from a book you've read recently (or anything else). It has to stand on its own. It's not a summary, the whole value needs to be contained in those words.
I'll start in the comments below.
(Voted by the Schelling study group as the best exercise of the meeting.)