I suggest that you're completely making up the causality here out of contempt for the alleged seer.
I submit, having known Bishop Williamson, that "Dawn Marie" applied spin to her message in response to the growing rift between the two bishops, having given up on her efforts to win over +Fellay, rather than that Bishop Williamson altered his position based upon the influence of DM. I see no alteration of Bishop Williamson's position; he's been extremely consistent over the years, IMO, almost to the point of being stubborn about it and closed-minded.