Under Zoya's explanation, Annan swiftly understood.
...This was another plan devised by Annan during the first cycle.
His initial speculation was completely accurate—rather, it was precisely because it was his own plan that Annan could guess so accurately.
For no one understands "Annan" better than Annan himself.
Consider the situation faced by the Kingdom of Winter ten years ago.
The Polar Brotherhood had already been established by then, although they hadn't started constructing the Curse Cellar yet, but it was estimated they had already made contact with the Fallen ones;
Looking at the composition of the top ranks of the Icebreaker Army, there were quite a few troublesome individuals mingled with 'the hands' of Winter who were represented by the "Right Hand" at the time...