Pronoiai Allagion cost exactly the same as Feudal Knights, and have the same stats, but has a smaller chargebonus but slightly better armour (1 point), I think there is a morale disparity as well, but since the assembly is down I can't remember.

Varangians are actually very well priced for their effectiveness, some would say overpriced as certain swordunits can defeat them in equal florin matchups (V2 AUM has a slight advantage over V0 Varangians).

Kats. can simply not beat Lancers unless flanking or fighting downhill with a good commander while the Lancers has a bad commander.
The Lancers' stats are just that much better. But of course it is all a game off chances and the kats can have been seriously lucky, but just do a series of tests between the two.

Byzantine Infantry are brittle, they are weak on morale, but that can be seen to, so they are actually the powerhouse of the Byzantines. But what else do they have that can do enough for them? Remember they have nothing else but this, not like Westerners that has several levels of troops.

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BTW, Danish Crusades are true to history.

You may not care about war, but war cares about you!