I wouldn't say that. An all melee cavalry army would surely destroy an all archer army. But things are never that simple.
Personally I'd say onagers are perhaps more to be feared. You can predict what archers will do, but you can never tell where that firepot is heading. I remember one game I did, my first shot of the battle.... landed a firepot right on the enemy general killing him. And I wasn't even aiming at him!
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