Replica mobs( cities bosses) don't have a job as far as any sources I can find show.
Angra Mainyu is a RDM.
Shadow Lord is at least a Rdm, Drk, Mnk and War based on his access to 2hrs but what he's actually set up as in the game? No idea.
Cirrate Christelle is a war according to BG wiki.
Apocalyptic Beast is all the things.
Antaeus is a Rng.
Diabolos depends on which one. There is 2 smn ones and one of each Rdm and War.
But still, I have never seen nor heard of ANY of those mobs being proced.