Lets see, to get my Ifrit weapon, I had to run that bastard 30+ successful times. Ifrit is an easy 8-10 minute fight.

Assuming I would have to run Titan the same number of successful times to get my weapon, that should happen sometime around never.

It was significantly easier to down Titan once, even with all the other hoops, that it would be to farm the hell out of him hoping my weapon would drop.