Job trainers could hand out future relic weapons + story

[Felis]

Considering they're already integrating Artifact gear into the job quests rather than making it a separate thing, it wouldn't be too hard to add the weapons as well.

Maybe if the last job quest give you a AF weapon (class specific) and this weapon will be then required to start the relic quest (shared quests amount all jobs).
Or do you mean making the job quests part of the relic quests, were the player have to grind first 50 FATEs, 10 dungeons and pay 10000 tomes before getting the next weapon and the next job skill?

During 1.x and 2.x AF were already rewards from the job quests, but relic quests still it's own thing. I prefer earning AF by job quest and have them as lv 70 starter gear instead of farming first tomes for them. And as quest reward we can put them into the armoire again.