In the Great Hunt you would have thought they would have at least have
heard of the battle Tarwin's Gap and the Rand fighting in the sky.
Surely Agelmar isn't the only one that looked up.

They gotta know that later the horn's been found (at after it's been stolen).

Surely they should have known then they were on borrowed time.

Not that Green's are the only ones most all the Ajah's have neglected there duties.

Except maybe the Yellow who's knowledge has stagnated and the Red's who became overzealous.

The most successful has been the Black.