A couple leaders feel the need to educate their children, Mandy only bringing Minnie, Aku already mentioned that Chi needs to learn, Walker cause it's part of the rules. The council is as serious as Big Boogey Adventure's council.
To me it seems unlikely and also impractical that they would bring their children with them and something like that would never happen in real life but we are talking about the main characters here. There presence in the court seems far fetched but It seems unlikely to to me that they would be too far away from the main story. That is just my view though.