I don't think that was a very realistic vision and even contradictory to this entire arc. If they had the power to make such a big move, they wouldn't be in this situation in the first place. Eizan rigged the Shokugeki with the intentional purpose of showing to everyone that he has the power to rig Shokugeki and that there is nothing they can do about it. They really did not have the power to overthrow anyone at this point. If they had tried to install neutral judges, Eizan could have simply considered them invalid. Asking other members of the Elite 10 would have been futile likewise. For starters Souma really didn't have the time to start talking to them all and even less to convince them. Don't forget that seven members of the Elite 10 created this situation. They were the ones who made Azami director and supported his way of doing things. So it would be a contradiction if they then start to go into a conflict with Eizan. It's likely that many of them disapproved of what Eizan did, but they all probably understood as why he did it and had no intention to intervene. Rindou is indeed a prime example of this. She showed that she didn't like Eizan's methods, but she didn't do anything about it. She's the 2nd seat, Eizan the 9th and still he could rig Shokugeki in front of her an the entire school without any of the seats reacting. That says enough. If she wanted to add other judges, she could have. Instead the only thing she did was throwing out some verbal jabs towards Eizan. If any of the other seats wanted to stop Eizan, they could have, but they didn't. The 1st seat for instance was more worried about all the work that was piling up.
