Do I really need relic weapon for the maint story line!?

[Felis]

Moreover, relic quest is considered as a job quest. Who knows, maybe it will be needed to unlock the next job quests in Heavensward ^^'. So, as everyone says, there is no reason, now, not to do it.

To have finished the job quests is a requirement to start the relict quest, but the relict quest is not part of the jobquests. It is a sidequest.