I agree on your overall point and some (but not all) of your proposed solutions.
Randomly generated characters should be way less powerful than they are, that's a given. We already worked on that actually (mortals from hunt mortals are now really bad, peasant leaders are not all Alexander reborn like in vanilla). But obviously, CK3 generates a hell of a lot of characters in so many events and such that it's hard to have a catch all "nerf random characters".
Right, this is one reason it's easier to move the goalposts of what a good character is, rather than trying to plug the dyke stopping the flow of characters that are "too good"
I agree about generally buffing Great Persons, these are truly exceptional figures indeed.
I disagree about an overall buff to vampires. We had a serious issues of stat bloats in PoD CK2 (40+ in every stat for every vampire) that we want to avoid, since that made stats utterly meaningless (PoD CK3 system is far from perfect, but you actually care about your char stats now). Also "setting wise", being a vampire makes you stronger, quicker and tougher than the average human (well represented by the numerous prowess boost they have) but it doesn't make you a tactical genius, a perfect administrator or a genius diplomat.
Most vampires are actually very much set in what they were as a mortal (if somewhat twisted) and don't learn anything.
Though that's a general point, and I'm happy to argue or hear suggestions about specific vampires needing a boost or a specific trait. Just keep in mind that most starting stats in CK3 are random, so I perhaps just not gotten around fixing them for the specific character you are thinking about yet.
My overall point is just that long-reigning Vampire "monarchs" probably are pretty ingenious, precisely because, unlike a mortal ruler, their longevity is basically only a result of their political skill, and to a certain extent their prowess. So, I might at the very least toss Helena "quick," Montano "shrewd," and Salianna "pretty," simply because they should feel like Apex boss characters, who have high stats in tune with their exceptional traits, not in spite of them. (And maybe those three deserve more! You know the lore better than I)
Since none of these traits will actually be passed onto their offspring, it should help stabilize their realms and aid their trajectories now, without persisting if they die. You can make Adana "intelligent" and Lucita "pretty, quick, and hale" to fit the idea that they're truly exceptional prospects, and not just lucky to survive into ancient status.
By the same token, we can assume that most vampires who are awful administrators and diplomats don't last long, even if their sire was wasteful enough to embrace them. Vampires represent the higher range of mortal abilities, precisely because of the selection and attrition pressures that allow the fittest to survive indefinitely, and which kill off the weak before they're even reborn, let alone ruling the Sea of Shadows. Therefore, surviving canon vampire rulers have a higher floor and a higher ceiling than what I'd expect to see from a randomly generated CK3 king.
I totally agree that CK2 erred in the other direction in a lot of ways - I actually helped cut down the combat rating bonuses when they got out of hand. I just feel like both Francois Villon and Hannibal should feel larger than life in a similar way that Anna Comnena does. (And, with a 6 in appearance, I think comely's not even enough for her!) I think the way to do this is partially setting good stats, but also signaling those stats to players with impressive trait combinations.
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