Does addressing someone as "Father of Kings" take the same ruling as "King of Kings"? And what is the exact degree of impermissibility?

It is forbidden to be named "King of Kings" (Malik al-Amlak), based on the saying of the Prophet, peace and blessings be upon him: "The most detestable name in the sight of Allah is that of a man named 'King of Kings'." This is because it is one of the attributes of Allah Almighty that is not befitting for a created being. Whoever names himself with it has intended self-aggrandizement, and thus is punished with the opposite of his intention, becoming the most lowly name in the sight of Allah. This ruling applies to similar phrases such as "King of Kings" (Malik al-Muluk), "Sultan of Sultans" (Sultan al-Salatin), and "Shahanshah." It may also include being titled "Father of Kings" (Abu al-Muluk) if the intention is self-aggrandizement, authority, and complete dominion.