Nope, never going to happen.
1. Alliance Roulette is one of the best sources of EXP, which means it's incredibly likely that those queuing for it are below level 90, very likely below level 80, fairly likely below level 70... etc.
So you're more likely to have players who cannot run the higher duties.
2. Many players don't unlock all of the side content. It's likely that at least one out of the 24 haven't unlocked the Mhachi raids, or maybe one hasn't unlocked Nier, and although Ivalice is required for Bozja even that is old content now, so it's not unlikely that someone doesn't have those unlocked.
Get one player of each and you're limited to the level 50 raids, the only ones everyone has to unlock.
Even if you eliminate this "exploit", the result isn't going to be much different.