I have theory about that. I think Mystel names mirror miqo'te names more than we might think. I think Chai is his first name and Nuzz his last. Similar to Y'shtola and other miqo'tes where they are given their father's first name as a last name. In this case Nuzz was Chai's father. And when females get married they take on their husband's first name as a last name to reference that they are cared for by them now instead of their fathers. I think it's really similar to Seeker names just minus the tribes and breeding male thing(Tia), since males seem more prevalent on the first.

Also it looks like someone suggested this earlier, my page didn't update, grrr.