Graphical statement of Theorem 2
I find this picture pretty misleading, because it seems to say that if is determined by , then is a mediator, when really this is false, and it’s stated explicitly in the text above that Alice’s latent satisfying mediation is assumed.
This was all clear to me, but only from reading the text; my comment is just to say that the graphical statement doesn’t show ΛA being a mediator in the premises, so in isolation it gives the wrong idea; this led to a little confusion.
To be clear, I am talking about the reverse direction, as pictured here:
I understand that you have already set up ΛA as a mediator immediately above the image. Your text is perfectly clear: