Ögedei is not wrong about that.
In the end they were all stepped barbarians, if one of them succeeded in unifying the region's tribes into a confederation they would do the same as always, starting a campaign of conquest. Toregëne as first wife would be the Great Khatun benefiting from everything without losing anything. She would be just one more for Fátima to hate and want to kill.
And talking about Fátima... already?
Really? She is already using lives for her plans?