But with this scene, I got the impression that it was almost code word territory, so with Saerin's comment the others stood up knowing it would benefit Egwene (as it was Egwene's allies within the Hall doing this), preventing the rest of the Hall looking further into it.

I.e. Saerin at least knew what the consequences would be, possibly still under the delusion that it was best for Egwene to deal with the Dragon.