Being a king, and being Egyptian doesn't mean your an Egyptian King (even though in most cases it would be accurate). The same could be said for the other examples you asked about. We already have an example of this in the game with Abimelech who is a King and an Israelite but not an Israelite King.
For example, if you were to choose Israelite as the nationality for Kings of the Earth, that does not make him a King of Israel so that King Amaziah can use his CTB ability on him.
