The Paladin is a far better straight up combatant than the Archbishop unfortunately. The Arch is soooooooo slow. Even with full skills, AE's, and 2 nav points capped you won't even break 100 on the speedometer, and since you don't have Holy Charge you cannot kite or escape if things go south. 1 v 1 the Paladin can wreck the Arch no problem.
However, since the Archbishop is a capital ship, you can really pile on the caps and vents, and when you Priwen Burst that sucker, you can blast things right out of the map. On the other hand, Priwen Bursting with a carrier....yeah unless you have templar fighters, your pilots are NOT going to be buying you any drinks after the battle (at least the ones that live).