As soon as an Aes Sedai wanted the throne, the FIRST question any other House should have asked before saying they'd support her is 'If the Amrylin Seat asks you do something that's not in the best interests of Andor will you do it?' No disassembling about negotiations, talking it through etc. etc. If she can't straight out say 'No' they should never have supported her. IMO it's a critical enough one that if she ever takes the oath they should still ask it - then remove her if she won't put Andor before Egwene.