As far as i read , RomeTW engine considers an AP attack as an attack that negates 50 % of the Armour of an unit , not all( dunno about shields too).
Example : a unit with 10 armour 4 shield and 10 defence skill will have 24 total defence. Against an AP attack he will have only 19 defence.
Thus AP is affected by the ammount of extra armour , but it far from ignores it.
IMHO using the no AP/high attack/high lethality/hardy system for falxes leads to a weapon very efficient against lightly armoured units but very inneficient against heavily armoured ones.
Thus what am i bringing them in battle for? to kill skirmishers and archers which they are vulnerable to?
But if you use the AP/medium attack/high lethality the unit gets better cost effectiveness against highly armoured/low skill units seeing how armour tends to be expensive in EB.
Also it makes them brutally effective against other units who rely on AP , especially kopis/falcatae.
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