public order

[desert]

Democracy doesn't really have that much to do with it, at least directly, but yes, Athenians, Thebans, and all the rest would have been offended deeply if, say, the KH FL sacked Delphi or razed Corinth to the ground just because there were Maks occupying it.

So maybe you can make the case that enslaving/exterminating people in your homeland regions will make your homelanders unhappy. Although I think there are already some traits related to that. And it would have to be relative. Steppe people usually won't give a crap if you destroy some foreign tribe, and the Casse won't shy away from killing their fellow Britons, etc.

[a completely inoffensive name]

Idk about the traits, I played as KH and took Delphi, exterminated it and destroyed the Oracle and nothing happened except the loss of bonuses the Oracle gave.

[desert]

I remember there was a trait called "Kills Own People" or something to that effect.

Calling for bovi, MAA, or Aemilius Paulus...

[a completely inoffensive name]

Imma look up that trait and its trigger. Also, I meant I took Thermon, not Delphi.

[a completely inoffensive name]

As far as I can tell from searching extermination triggers/traits, there is only:

Genocide
Bloodthirsty
BloodthirstyGaul

EDIT: Also I can't find a trait called KillsOwnPeople

[desert]

Hopefully bovi knows.

[Megas Methuselah]

I remember that trait. It's a likely possibility that it was removed along with the exterminate option. Maybe there's an Enslaved Own People, or something of the sort?