I think they do benefit from duelist.
And throwing axes are throwing mastery only weapons afaik.
I never found any use for throwing weapons really. I have tried to but never found a really good usage, at least not worth using throwing weapon mastery. Say you play against a full melee kind of enemy you could use throwing weapons on the guys that dont use spearwall since they have some free time. It just doesn’t seem very viable without quick hands and I usually don’t have spare perk points.