Hosea 1: Jezreel, Lo-Ruhamah, Lo-Ammi, And The Reversal Of Judgment

The one-head language is central.

The problem in the chapter is not only geography or ethnicity. It is headship.
Who leads the house? Yahwah's house cannot be restored by multiplying competing
heads, kingdoms, parties, tribes, or national identities.

The restoration frame is one house under one head.