Hah, perhaps, can you expand on what you mean by that?
They certainly wouldnt acknowledge such, claiming no owner but themselves:
Terrible and dreadful is he, from himself derive his law and his majesty.
Swifter than leopards are his horses, and keener than wolves at evening. His horses prance, his horsemen come from afar: They fly like the eagle hastening to devour;
each comes for the rapine, Their combined onset is that of a stormwind that heaps up captives like sand.
He scoffs at kings, and princes are his laughingstock; He laughs at any fortress, heaps up a ramp, and conquers it.
Then he veers like the wind and is gone - this culprit who makes his own strength his god!
Peace!
As to the my statement of the same owner, then as now - all of the empires against God-the-Father, either in OT times or NT+ times, are of satan, no matter the empire - satan is "god of this world" after all. From the Babylonians, to the Egyptians, to the Greeks, Romans, etc. The same spiritual patterns are present in each of them - meaning, not of God-the-Father; slightly altered and with different names, but each relating back to the previous, because they're all from the same source - satan.
This is what I think is meant by "Mystery Babylon" in Revelation, and not just the physical empires, but the spiritual/esoteric groups as well, meaning all religions not OT Judaism and Christianity, as well as groups like Freemasons, Illuminati, etc.
In regards to "they certainly wouldn't acknowledge as such, claiming no owner but themselves", I agree only that they don't acknowledge such publicly. Behind the scenes, they do, and will do so publicly once Revelation post chapter 5 begins.
satan wants to be like God-the-Father, who creates "gods", which in reality is a way to say "angels", but they still view them as "gods", thus "God". One of satan's tactics, in his quest to be like God and imitate God, is to make "gods" for himself, and one phrasing I've heard from them is "you are a god", so with that, they don't claim an owner, now, but will do so once satan presents himself, and they will be his "little gods"/"angels".
And, to me, this is where the "mark of the beast" comes in, and why I think it will be a physical mark - a branding for these "little gods", showing ownership to "the father" satan.