I'd definitely like to see one of the leaders of the Eorzean Alliance be ousted or screw up so badly that they're forced to step down. It's a little too convenient that everything works out perfectly for them even in the face of adversity. Especially when they criticise other individuals and organisations for taking a tough, controversial approach to their own problems because they do not have the Warrior of Light to fall back on as a convenient solution to most of their woes. There's barely any criticism of the decision to use Omega to combat Shinryu, for instance, despite Omega now essentially holding all life on Hydaelyn hostage. Then again, it's likely that nobody beyond a select few individuals will ever know about it.
Yet if it were Garlemald that activated Omega out of necessity to defend against an Eikon and it ended up causing problems further down the line then I have little doubt that there would be no end to the criticism, especially if the result was the same - namely humanity being held hostage for the sake of Omega's experimentation.