What's wrong about keltic cavalry losing to armour piercing weaponry? Afaik the former was renowned for the trimarkisia (each "knight" supported by two mounted attendants), so basically numerical superiority and they performed pretty badly against germanic cavalry: I really don't see the "Brihentin should be the non plus ultra" point...
As for cataphracts, in what fantasy world did you pick that they were invulnerable in melee? They had weight in the charge and were basically missile proof, but when caught by more agile cavalry in melee, they got shredded...
In your preferential view sure, in reality no :D
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