I'm getting ready to try and start Titan HM which is the last piece I need for my relic weapon. My question to all you Titan HM veterans, is a Ifrit or Garuda weapon extremely necessary?

I'm playing on SMN, and I've been farming for Ifrit weapon as its a lot faster than Garuda, and I've lost the weapon twice now. At this point I'd really just like to try and finish relic weapon, if I had mostly DL gear on and used a GC weapon for Titan HM is that acceptable?