So...a Class Story Epilogue Saga?

[kyuven]

Moogle quest does provide the fate of some NPCs but some of the Moogle Quest also serve as Prologues to certain NPCs to explain how they got to where we meet them in either FATEs or Dungeons.

Those quest main aim is mostly to provide lore on these NPCs since they aren't involved in a Storyline Quest chain compared to Class Storyline involved NPCs where their lore is revealed over the course of the class storyline.

So far the Moogle Quest has not aimed at the Fate of Class Story involved NPCs.

Current NPCs involved in Moogle Quest are FATE NPCs, Side Quest NPCs, Dungeon NPCs, and side character NPCs we met in Main Scenario.

One of the moogle mail quests has you speaking with Raya-O and A-Ruhn, who are integral to the WHM job quest.
But yes none of the DoW or DoM class quests are directly involved, though the DoH ones are (CRP and ALC especially with the one involving Jandelaine)