Other jobs DO get procs - it's just the easiest way to cover them all with the least people, and thus the least time shouting and lowest probability of getting an alliance full of idiots - is to go with NIN + WAR for red... BLM/BRD BLU someone /NIN and a WHM for grell and MNK + WHM for blue.

Nothing in the world stopping you grabbing a DRG for raiden thrust, or a DRK for shadow of death but if you're wanting it to be mandatory for every single job in the game to be included in an 18 man abyssea alliance for anything needing procing... yeah that'll really work.