This is true, it also depends if you can hit the stat caps w/o the meld on the weapon too (which should be easy enough with WAR). For the sake of example take my PLD, I have the Lominsan Lieutenants Cutlass and a Giantsgall Longsword. The Cutlass is about 1 DPS higher and 13 less base damage than the Giantsgall and +30 Atk (5 Pieces), however I'm also short 17 STR and about 25 MND from the caps. However my Giantsgall has +17 STR and +5 MND on it and when equipped my DPS was still higher than my Cutlass despite the lower DPS.
So in a way the significance of the DPS and the power of the weapon can also depend on how obtainable the stat caps are for you.