Yes and no. There is a reasonable limit to what you can expect to achieve before you have to start seeing someone as something special. This popped up recently in WoW where in its story the main character has been holding more and more importance in the world. A lot of people wanted to be just a nameless grunt or soldier. The thing a nameless grunt or soldier is going to stop being nameless at a certain point if he or she starts killing off gods, ancient dragons and repeatedly saving the world. Heroics makes you stand out. Repeated heroics makes you get put up on a pedestal. That's just naturally going to happen.
Even if we ignore all the rather unusual talent the WoL has, they kill gods regularly and are an outstanding fighter. Our actions by definition make us stand out. The narrative in FF14 embraces this and rather than trying to make us feel less important instead puts the burden of having to be the one to do it on the WoL's shoulders. They have to do it cause there isn't anyone else and frankly the world is running short on the amount of losses it can take.
I would point out that they do mitigate this. The WoL cant do everything on their own. We can win key battles but on our own we can't win the war. Its often mentioned subtly and people often overlook it and it applies to the meta conflict as well as the more mundane battles. Take the Steps of Faith for example. We defended the Dravanian attack on Ishgard there and kept the city from falling. However it wasn't the only place that got attacked. There were pitch battles at both Vigils where the volunteers we collected, the Crystal Braves and the Ishgardians took quite a beating. No matter how great we are we couldn't have defended those places and the Steps of Faith. Without others Ishgard might have stood but most of Coerthas probably would have been in ruins.
Further, I suspect the Minfilia thing will also highlight that we cant do it alone. Our role is realistically to counter the Ascians directly. I think that what Minfilia has don't is do something else equally as important but different. All the WoL's efforts wont mean squat if Hydaelyn falls while they are out kicking ass.