Feel free, I just wont confirm or deny anything
In that case:
Tomb Kings
The Tomb Kings I imagine are going to be fun, due to how their background works. All the Tomb King soldiers are the mummified soldiers who were buried with their kings (or died in Nagash's plague IIRC), inhabited by the souls of the former owners in a method that was much better for preserving their fighting skills. This means two things:
1) The Quality of Tomb Kings soldiers is liable to on average be better than that of most Undead, barring things like Nagash pouring his magic into his Skeleton Warriors, because Tomb Kings soldiers retain more of their mental ability and skill. This is why Skeleton Archers are really mostly a thing for the Tomb Kings, but not the Vampire Counts.
2) The Tomb Kings' rank and file are a
bronze age army in an era where everyone else has moved into the Iron Age at minimum and are rapidly progressing towards steel (if not better.) Since baseline Equipment seems to lean heavily on material science, that puts them at like, Equipment 2. BUT! They have an extremely high proliferation rate of enchanted equipment.
All the Tomb Guard have enchanted weapons and armor, Skeleton Horse Archers are noted to use magically enchanted arrows, etc. So I think what we'll see is a low baseline level of Equipment, but it's popped up by huge portions of the army (basically anything more elite than the average skeleton/Nehekharan warrior) getting Enchanted equipment.
So to sum up the Tomb Kings: Impressive Quality for manlings, poor baseline equipment and low tech, lots of Enchanted equipment, and probably other modifiers from war statuary and plentiful magic.
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Ogres
Ogres are bound to be "interesting." The first issue with them is obvious: the 10k army formation doesn't really work the conventional way with them, because 10k Ogres is like the kind of force that ruins whole nations. But I think there's a simple solution to this: the "10k" counts not only the Ogres, but is like, 9,000-9,500 Gnoblars and anywhere from a few hundred to a thousand Ogres, with pretty much all of the actual combat power being provided by the Ogres because you'd need some sort of fractional measure to properly show a Gnoblar army.
2nd issue with Ogres: They're not exactly professional soldiers, they're tribal warriors that are really big and tough. This would normally be a Quality 1 or 2, but that doesn't make sense for the Ogres at all because, come on, they're Ogres! Maybe Ogres instead get a floor to their Quality of 3 or something, or just an automatic +2 or whatever to their battle rolls because they're giant Ogres.
And a 3rd remark about them is that they're very much primitives. Forget Leadbelchers and Ironblasters, those are recent inventions. No Maneaters either. There might not even
harpoon launchers. The Ogres right now (and even in canon) are very much a stone age civilization, with any metal being scavenged. So that's Equipment 1, maybe 2 if they're a very lucky tribe with a lot of looted metal.
So, on paper this means an Ogre force looks pretty weaksauce, with low quality and low equipment and zero technology, plus pretty poor generals, but they were like this in canon to, and that didn't stop them from being relevant (though a lot of that might have been Greassus.) But on the other hand, they seem to have been more an inconvenience and hazard on the borders rather than a nation-threatening problem, so maybe that fits.
Still, I feel that there needs to be some modifiers: one for every Ogre army on account of being Ogres instead of small people, and one that maybe depends on how expansive a beastiary the Ogres have: are they stuck with Mournfangs and Rhinoxen, or have they managed to grab a Stonehorn or two?
For us right now, I think this means that if we want to hire Ogres, we need to make sure we have good enough info for them to hit a more vulnerable target, since even if we wrangle together a large number of them, they'll struggle pretty hard if they come up against the heavy, well-garrisoned Chaos Dwarf fortifications.
EDIT: So, going by my estimates + Sir LagsAlot suggestions, Ogres would (so far as our guesses anyway) have a Quality 1 and low baseline Equipment (1 because stone age), but it gets pumped up with stuff like a +2 from being Ogres instead of tiny humans, and a +1/2 depending on what warbeasts they have available in numbers (+1 for Mournfangs and Rhinoxen, +2 if they have Stonehorns I think.) So you can theoretically get a hilarious 1/5 Quality/Equipment army.
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Cathay
This one is mostly just me doing theorycrafting on how Cathay at this point in the timeline might be different from the Total War Warhammer 3 depiction.
Probably still the general Peasant/Jade Warrior/Celestial Dragon Guard tier system of unit quality in place, but the tech level is overall lower. Probably no Sky Lanterns and the like for example, and even less gunpowder otherwise (rocket battery might instead be a Hwacha-style thing rather than explosive rockets.)
I'm not sure on what's the status of Cathayan metalworking, but one thing could be, in this era, steel is reserved for the elite Celestial Dragon Guard (still some domestic production of steel in army-level quantities, so still better than the Old World.) The Jade Warriors make do with iron, giving them the 3/2 statline similar to Remas/Reikland, and there might be Jade Archers mixed in with the Jade Crossbowmen (since crossbows are a technological advancement, but archery is a tradition that's been taught by the Moon Empress, so it's a long, long road to getting the military to truly replace bows with crossbows.)
Jade Lancers and other cavalry might be making use of
Fire Lances, which would make them good on the charge, but rather poor at a prolonged fight (especially if horse breeding hasn't gotten to the point where you can give them and the rider heavy armor.)
Cathay actually might be an interesting bit of schizo tech, where crossbows are in wide proliferation and there's even some gunpowder weapons, but the bulk of the army is still mostly using iron.
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Well, these were all just idle thoughts from me. I think I got inspiration for another set of army lists. This set's theme: They really like Cavalry.