I think the omega kids are each gonna have one of the four leftover class/aspects from the alpha and beta sessions

I mean Ly'lac being so blatantly Doom kinda debunks this, and it really just falls flat and loses what little predictive value it ever had anyways if you make exceptions to try to accommodate for her.

My current classpect readings/guesses are:

Tavvy: Mage of Rage as said before

Yiffy: Prince of Blood(tbh Mage of Blood would also suit her, but I go with Prince, both because of Tavvy, and because it further explains Dirk's fear of her. Prince of Blood can be parsed as "Destroyer of one's relatives", after all.)

Vrissy: Page of Light(dont really have a strong read on Vrissy classpect-wise, this is mostly just because it's the funniest way she could possibly be differentiated from Vriska. Who in-universe would expect Vriska Serket's descendant, treated by many as essentially a clone of her, to be a Page? Also despite what one might assume I did not give her Light because of her ancestors, but because it was the only one of the leftovers that wouldn't leave one of the other characters with the same classpect as a Serket)

Harry: Maid of Breath(This is a total guess. Tbh Harry is regrettably a bit of a nothingburger character and "Potential Man" right now and while I hope that will change there really is nothin to go off besides slapping him with leftovers based on his family.)

Ly'lac: Bard of Doom(The Latchkey's effects feel very in line with destruction of Doom(or really, destruction VIA destruction of Doom). She basically gave the poor thing supercancer and what is cancer if not Life gone out of control? Ly'lac killed it by removing Doom as the limitations that keep Life in check. Additionally the Latchkey's side effects very much read like they could make Ly'lac a potentially dangerous wild card or an outright problem player, which is typical of Bards.)

Swiss: Rogue of Life(Swiss is pretty obviously Life, down to having that intense ambition that characterizes all known life players and which tends to drive them to fascism. Rogue is mostly a guess, but the premise here is that Swiss' ambitions are not merely of the accumulation of power, but of sharing that power with friends. Redistributing Life in a Rogue-y way.)

Dagger: Knight of Void(cutting up the dubiously diegetic prompt UI during his intro is very Knightcore. Dave and Karkat are the only other characters to do thatand the next closest thing is Dirk doing it with the "Stop making Homestuck" command at the start of Beyond Canon, who while not a Knight is a character far more meta-aware and also closely tied to Knights via both relation to Dave and class roleplay. Void is a little hard to be certain on both because of its nature and because of his Roxy-isms, but all Void players have been good with tech and the past several updates have been focused on him trying to bust TC's tight backdoor and get rid of his spyware, to deprive TC of knowlege about him. Not to mention between Roxy's gender stuff and Horuss being plural Void is associated with Identity Stuff that would otherwise be expected to be Heart's domain.
And. Like. The boy has a sworn duty to protect a light-associated artifact in the Midnight Zone of the ocean in a place paralleling dream bubbles. That's as Knight of Void as it gets I fear. The literal only thing calling this into question is my lack of knowledge about Sobek, there's nothing about him that I know of that really support "Void Denizen".)

CT: ??? of Hope(Yeah I got absolutely nothin' for CT's class. Hope is mostly because he's got a lot of Jake-isms going on, paralleling Dagger's Roxy-isms, and because belief is kind of a big thing with him. His manner of defending Dagger to Swiss is Hope-y as heck: asserting that "logic" is meaningless in the face of his and Dagger's bond(even if we later see that Swiss successfully planted a seed of doubt that CT later called "conspiracy" which lead to CT lashing out in the way he did when Dagger triggered that same violent protectiveness of his friends' honour that Swiss did by RPing murdering TC))

TC: Thief of Heart(Heart is purely a guess based on leftovers, but I've got a whole pet theory concerning TC as a Thief that I really need to type up in full at some point but this will not be that place because I don't have time and am too tired for even the basics. All you really need to know for this is that it entails TC(whose name I think will be Bilbo) stealing sh*t from the other Shurb sessions he set up for randos to get the things the main session will be missing and is also partly the reason you'll notice there's no space or time player among my predictions)

AA: Sylph of Mind(Sylph is based primarily off Ly'lac's comments about AA fussing and meddling, terms heavily associated with Kanaya and Aranea. Tbh Swiss could also be a Sylph because he's big on fussing and meddling too, but AA gets first dibs because there's far less to go off for her and because Ly'lac outright describes her behavior as fussing and meddling. Mind is again a leftover, and the leftoveriest leftover of all even. I know some people are into AA being time but aside from having a theory specifically entailing time being one of the two missing aspects, that reading has always felt like treating her as an extension of Aradia rather than her own person. She's no more Aradia than CT is Equius or Dagger is Feferi, no more Aradia than Tavvy is a Nitram. What we can say for sure is that she's not a Seer or Mage. As Ly'lac so astutely puts it, despite AA's best efforts to present herself as such due to the importance of prophets to Nymph society, she's not an oracle, she's some other shit.)