I don't know if everything would happen the same way. If Tohdou has absolute trust in Zero(which at the moment, even without the confession was not likely, since Lelouch was crazy for Nunnally loss), he would probably disagree with Schneizel and with Ohgi, because he's listening to a brittanian woman. Since Tohdou is one of the pillars of the BK, i think his opinion got the same weight as Ohgi's opinion. And he got Tamaki to support him.
