Warrior,
Big Ern is an attorney (and from what I can discern from many years on this board, a very accomplished one). He spelled out why puplic people in general (and Cooley specifically in this case) avoid lawsuits like the one you were discussing.
Even if Cooley could prove there were factors beyond the alleged affair, once it would get to court, a ton of dirty laundry would become public and there is no guarantee that Cooley would receive a favorable outcome outside of embarrassing himself, his family and likely the woman in question.