What are your goals? If you plan on running coil and such (even if you don't mind you) then i would say do your Relic. Do not rush it and burn yourself out however.
While you do work on Relic you can get the Augmented Ironworks weapon or Shiva weapon which would suffice also.
My thoughts on the "reward" for those that already have zeta is it will be something far less then most players would be expecting.
Stash as much Alexandrites as you can, even when you do finish your Novus continue to collect alexandrite just in case you decide to do another Relic