If a lot of these calculations are based on total strength, that may also be helping Khuzait because they tend to punch far above their weight on paper for a variety of reasons, and as such seem to take far less total losses than other factions over the course of the war. My feeling is it goes beyond simply their cavalry combat bonus for simulations and has a lot to do with their party speed.
Since they can almost always outrun other faction's armies, they have the initiative in every engagement. Compared to other factions, they're far less likely to end up in losing fights because they almost always have the speed to get away from a superior force, and almost always have the speed to catch an inferior one. Add that to the simulation bonus from cavalry and other advantages we've talked about, and they rarely get into fights they can't win, and usually win big in the fights they take. Pretty much the only time I see them lose is when they pick a fight with a weaker enemy, but reinforcements show up during the fight. Aside from that, they're almost always the attacker and almost always win.
The speed also gives them a big economic advantage when it comes to the village raiding game. Their villages tend to be safer because lone enemy parties venturing into their territory to raid usually get picked off pretty quickly for the reasons I mentioned already. On the reverse side, raiding enemy villages tends to be very safe for them because they generally have enough base speed to get away if an enemy party interrupts them while raiding, even with the Disorganized malus and are free to try again somewhere else. So every time they get into a war, you very quickly see a line of burned villages spreading all the way across the enemy kingdom, resulting in big penalties for enemy cities and castles, while they might lose a village or two here and there but their own lands generally stay pretty safe.
They also seem to be successful in sieges more frequently than other factions. I'm not sure if this is a result of the Cav combat bonus applying in siege battles also (don't know if it does, but I do know that it shouldn't if it does), or just because pretty much every enemy garrison is starving for weeks before they get there. Could even be both.
Since they can almost always outrun other faction's armies, they have the initiative in every engagement. Compared to other factions, they're far less likely to end up in losing fights because they almost always have the speed to get away from a superior force, and almost always have the speed to catch an inferior one. Add that to the simulation bonus from cavalry and other advantages we've talked about, and they rarely get into fights they can't win, and usually win big in the fights they take. Pretty much the only time I see them lose is when they pick a fight with a weaker enemy, but reinforcements show up during the fight. Aside from that, they're almost always the attacker and almost always win.
The speed also gives them a big economic advantage when it comes to the village raiding game. Their villages tend to be safer because lone enemy parties venturing into their territory to raid usually get picked off pretty quickly for the reasons I mentioned already. On the reverse side, raiding enemy villages tends to be very safe for them because they generally have enough base speed to get away if an enemy party interrupts them while raiding, even with the Disorganized malus and are free to try again somewhere else. So every time they get into a war, you very quickly see a line of burned villages spreading all the way across the enemy kingdom, resulting in big penalties for enemy cities and castles, while they might lose a village or two here and there but their own lands generally stay pretty safe.
They also seem to be successful in sieges more frequently than other factions. I'm not sure if this is a result of the Cav combat bonus applying in siege battles also (don't know if it does, but I do know that it shouldn't if it does), or just because pretty much every enemy garrison is starving for weeks before they get there. Could even be both.