Umm, no.

The collar does not control the damane the way the rod does. Rather it relies on nausea and pain to help break the victim and then essentially creates a sort of unbalanced link between the two channelers (damane and sul'dam). The damane who is completely subservient at this point due to the torture cooperates fully.

We know this because it has actually been explained in the books. The AS are bound by the oath not to use OP as a weapon and the sul'dam have not been able to overcome this oath.

I remember a scene with Tuon's damane, Mylen I think, where there is a scene where this is mentioned (Mylen cannot attack) and Mylen is then comforted about how she is a good damane despite that and how she makes excellent sky lights or whatever.

An oath not to obey the sul'dam would not kill the AS. Well other than the fact that once the sul'dam realised what was going on, they would just execute the AS. Still, as Egwene said, death might be preferable. And this oath would mean that any captured AS could not be used against the tower.