The trouble seems to be on one hand you've got a limited selection of jobs people will choose for a party just because they useful enough for procs on the other you don't want Abyssea to be any easier than it already is. My suggestion is just one that people will hate because it would reduce your chances of proccing in a low man situation. If we gave, say, Quick Draw the ability to proc yellow, on top of your BLM/BRD, BLU/NIN and WHM you'll need invite a COR as well, then adding helices would mean inviting a SCH, then add ranged attacks to red and you'll be inviting a RNG alongside your WAR and NIN. As for blue, well MNK has it covered, I'm not sure if there's any blunt WS's that a MNK can't use.
So, such a solution is probably not worth it just to be more inclusive, especially as it'll probably piss a lot of people off. How do I get to play the jobs I enjoy playing? I just don't do shout parties anymore - I have occassionally gotten away with using jobs that people don't use to proc in shout parties, my general refusal to level a job because they're a 'necessity' does mean I'm at a disadvantage - except for blue procs, because I have a MNKbut I stick with LS and friend groups and there's a lot more flexibility there. I go SCH to heal when fighting NMs that don't need somebody with Cure V (but we have people with WHM when we need it), I've been MNK to DD(not proc), DRK, COR for buffs and its ranged attack and even lolPUP. It doesn't always matter to proc, you may have to kill the NM more times, but normally I do stuff in 3 man groups, so it's not often we're gonna have all procs covered anyway.
And if you need to do atma runs or wins, usually shout groups don't care what job you're on if you're not going to lot on anything. If you're able to help out with the heals, it's great, same if you're able to help zerg the NM after procs have been done...if you have some procs, that's an added bonus.