I forgot all about that. I just didn't think of Synch's speculation as official categorization cause it wasn't in one of the data pages that i call the X-files.
I imagine we'll see an update to "official" categorizations sooner or later to account for significant additions and changes since House of X #1 in 2019.
Forge and Synch aside, Franklin Richards was yanked from the list by Slott, we have all of Arakko to consider outside of the Great Ring, Xandra and Nate Grey were both left unaddressed, all of the precogs who were dead and banned (Destiny, Blindfold) now aren't, James Jaspers appears to be some kind of amalgamation of EVERY James Jaspers, Madelyne Pryor has returned from death, and Scarlet Witch pulled off that Mutant Heaven business that allows for resurrection of those not categorized in Cerebro.
edit: and as an addendum to the previous conversation, it looks like the first instance of Omega Level/Omega Class mutants showing up even predates the Twelve: It occurred in Uncanny Xmen #208 and referred to Rachel:
Featured Characters: X-Men Storm (Ororo Munroe) Nightcrawler (Kurt Wagner) Shadowcat (Kitty Pryde) Wolverine (Logan) Colossus (Peter Rasputin) Rogue Phoenix (Rachel Summers) Supporting Characters: The Morlocks Callisto Caliban Sunder Unnamed Morlocks Antagonists: The Hellfire Club Black Queen...
marvel.fandom.com
So the timeline here appears to be Claremont using it for Phoenix Rachel in '86, The concept evolving into "The Twelve" in X-factor in '87 then THAT concept constantly being rewritten and evolving into an unknown number (as opposed to just twelve) Omega Class mutants with Age of Apocalypse in 1995.
Speaking of The Twelve, the original list we know of (from Master Mold) isn't that far off from the list of Omegas we have now:
Uncanny X-men #246-247 (1989) had Master Mold indicating Xavier, Apocalypse, Jean, Psylocke, Storm, Cannonball, Franklin Richards, and Dani Moonstar, with the remaining 3 unknown.
A couple years later in X-factor #68 (1991), Apocalypse seems to indicate Storm, Iceman, Cable, and Xavier as part of that group, while excluding himself. (Note though that Apocalypse may not definitively know who all of them are- only Master Mold and a Time Traveling Rachel Grey seemed to be aware of the full list.)
So if we consider "The Twelve" to be precursors to Omega Mutants, those were the potential candidates as of 1991. So how does this line up with the group of 14 from House of X?
Xavier: Xavier's lack of inclusion on the 2019 Omega list has always been sort of confusing. He's had the title of "earth's strongest telepath" pretty much forever, and even if we exclude all three instances of the Onslaught business, has easily mentally bested Jean and Quire before. Xavier himself also is the father of at least one known Omega Mutant (Legion) a second one that is suspected to be at that level (Xandra) and the time displaced Charles Xavier II was somewhere on the level of Teenage Jean without any formal training. I imagine we'll get an explanation for this one sooner rather than later, possibly with a class "above" Omega level (this has happened a handful of times before).
Apocalypse: similar to the above, his exclusion from the 2019 list doesn't make a lot of sense. For a very long time beginning with his origin in X-factor, Apocalypse was presented as if not THE strongest mutant, damned near close to it- thus his "survival of the fittest" routine. Apocalypse was considered SO powerful that it was Sinister's entire mission for over a century to eventually breed a mutant strong enough to defeat him, which gave us Nate Summers/Cable, who was cloned into Stryfe. the AOA Sinister came to the same conclusion, eventually creating Nate Grey/X-man- all three of which were eventually classed as Omega Level (Cable/Stryfe) or way past that (Nate Grey) prior to HOX. The Cyclops and Phoenix series which took place in Cable's future also outright stated that Apocalypse would eventually evolve into something far past his current incarnation, so powerful no mutant body could contain what he was for long without burning out. We also have Moira seeking him out as a final gambit after alliances with Xavier and Magneto failed in the prior timeline. And finally- we have Apocalypse defeating Genesis (the only one capable of defeating annihilation previously) in single Combat in X of Swords- Genesis being an Omega herself. Everything we've ever seen indicates Apocalypse is at least on this level, though like Xavier we may need to wait for more clarification. His inclusion (at least initially) would therefore be kind of obvious.
Jean: is currently on the 2019 list established in HOX for obvious reasons.
Storm: is currently on the 2019 list established in HOX, though the reasoning is suspect given that Thor's weather control is superior.
Franklin Richards: is on the 2019 list, but subsequently retconned out by Slott in Fantastic Four. The retcon makes very little sense, given Sinister is doing the exact same thing and is considered a mutant by council.
Iceman: is currently on the 2019 list established in HOX- though his actual powers rarely seem to justify it. His inclusion among "The Twelve" is the first indication he may be this powerful, though this potential rarely materializes.
Psylocke: one of the strongest telepaths that isn't Omega level and probably third behind Xavier/Jean at the time- her inclusion would make sense in 1989/1990, though she's been surpassed in telepathy since then. Amusingly though, not by Quentin Quire who is included on the 2019 list as the only other Omega TP outside of Jean.
Cyclops: His mutation has never been particularly impressive, but his inclusion makes sense given his longevity with the X-men AND Sinister's constant obsession with his Bloodline's DNA. The Summers bloodline much like Xaviers seems to routinely keep producing extremely powerful mutants. He gets a pass.
Dani Moonstar: No explanation for this one, might just be in recognition of where New Mutants was in 1989.
Cannonball: This one is fun. Cannonball in New Mutants was always depicted as powerful, but lacking control over it. How powerful? At the time X-factor #68 was written and New Mutants was evolving into X-force, Cannonball was intended by Rob Liefeld to be not only be one of the immortal "externals", but to be the past version of Cable, who had been time traveling for thousands of years at the point he was introduced in 1990. Nathan Summers was intended to be an entirely different character until Liefeld left with the rest of Marvel's talent due to the Image Comics business. So Cannonball and Cable are
both listed, but as of 1991? They were the same person and Liefeld was laying the groundwork for him to be one of Earth's strongest mutants.
Cable: See the above. Current Cable (as the fusion of Cyclops and Jean by Sinister) is an Omega level mutant- or would be if the majority of his power wasn't dedicated to keeping his T/O infection from running out of control. The other two clones of him (Stryfe/Xman) have repeatedly been clocked at or past that level without it. This came up as recently as Xmen Red #2, and it's heavily implied that Orchis is searching for a way to reliably control the T/O infection as cable has using his TK. Interestingly, the only other mutant known to have done so (and the one responsible for Cable's condition) is Apocalypse.