TL

Well, as far as God calling Himself King, a handful is hardly “pervasive”. 🙂 I think there are numerous ways that God describes His omniscience. He is all and everything that we need as His creation and handiwork.

In Genesis 5:1-2, God calls both the man and the woman, Adam/Human. So, as you say, it’s more of a designation, or ‘family’ name. We are all of the family of Human. 🙂