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.