"But our negotiations with them failed, as predicted."

If the Lady 3rd speaks the truth, and human behaviour is not more difficult to model than Babyeater behaviour, then the crew faces a classical Newcomblike problem. (Eliezer hints through Akon's thoughts that the Supper Happies have indeed built relieable models of at least some crewmembers.)

So if you write an alternative ending, take into account that whatever the Confessor, or anyone else, does, will have been already predicted and taken into account by the Super Happy People.