Hugo's notes say not but Doctor Munro has it anyway.
Perhaps Hugo had the metagene which was shaped by the danner formula, and so his son inherited the metagene and hence powers, without inheriting the danner formula.
The Hand was at least briefly retconned into a Guardian illusion to prevent anyone probing too deeply into the beginning of time, although I don't believe that was ever brought up again, and it's likely fallen by the wayside.
The Hand showed up again when heaven was attacked by the
Great Darkness. So that doesn't work, unless you'd like to explain what the guardian's illusion was doing in Heaven over in Swamp Thing. Heck, Paul could ask Constantine about that, he was along for the ride in that storyline.
The Source isn't the Presence. They're entirely distinct glowy divine thingies. If you want to get meta, the Source Wall is the page, while the Presence is the author.
According to whom? When Neron invaded the Silver City, Zuariel told him "The Presence doesn't sit on some throne in Heaven, the Presence is everyone and everything and everywhere." So if the Presence is everything, and the Source is the source of everything, One starts looking at differences that don't actually exist.
The Source is not explicitly the same thing as the White Light of Creation, which split into the emotional spectrum. Last I checked, this was a popular fan theory.
Well that's a damn silly fan theory which I was not espousing. The God Wave is attributed with creating the Speed Force, the Quantum Field, and the Glow (the emotional spectrum), along with superhumans and deities.
So unless one wants to retcon that, that would mean that the Godwave must have made the white light entity of life, and retconning it would make no sense considering the existence of the Aurakles.
The Aurakles, of whom Halo is a member, are a race made by the Source shortly after the birth of the universe, and in Darkest Night Halo's light was cutting through the black lanterns like a chainsaw through warm butter.
Since the Black Lantern's weakness is the white light or the different emotional spectrum energies being used in tandem, the rather obvious conclusion is that the Aurakles are an entire race of being made up of the emotional energy spectrum, including white, considering Halo's light powers include white light, and her origin involves resurrecting a dead body.
So if one made the Source have nothing to do with the emotional spectrum, that makes it rather hard to explain the fact that the Source has apparently made more entities out of the emotional spectrum energies than the White Light Entity has.
Of course, there's no inherent reason Zeus couldn't be hanging out elsewhere under different guises. The Romans certainly thought so.
He specifically was in DC comics, the Roman and Greek deities went to war, despite the fact that they were metaphysically the exact same people, the war ended when the Greek and Roman deities merged more thoroughly so there would be no more "right hand not knowing what the left hand is doing," as the saying goes.