So I've been patiently waiting for the latent stats for the Supremacy line of gear to be found, since I lost lot on the only one that has dropped for our LS so far ><. According to otherWiki, the set grants 6 to each of the listed stats. Currently, the best gun for QD has been Corsair's +1, due to the 42 base dmg. To compare the two, I did some quick math assuming some of the basic QD gear in typical situations (weather/day bonuses will only enhance any differences between the two in terms of damage).
For gear, let's assume the following:
HQ Staff = 1.15 Multiplier Bonus
Corsair's Tricorne (+1) = Base Dmg +10
Moldy Earring = MAB +5
Uggalepih Pendant = MAB +8
Denali Kecks = MAB +3
The formula for QD damage is Base Damage x Staff Bonus x (1 + MAB/100) x Weather/Day bonuses, where
Base Damage = 2 x (Gun DMG + Ammo DMG) + AF Hat Bonus
Murderer + Supremacy (DMG 38, MAB +6):
(2 x (38 + 70) + 10) x (1.15) x (1 + 22/100) = 315 damage
Corsair's Gun +1 (DMG 42):
(2 x (42 + 70) +10) x (1.15) x (1 + 16/100) = 312 damage
Assuming you're in a BLM party with Wizard's Roll, average of about MAB +10, you get:
Murderer + Supremacy + Wizard's Roll (DMG 38, MAB +16):
(2 x (38 + 70) + 10) x (1.15) x (1 + 32/100) = 341 damage
Corsair's Gun +1 + Wizard's Roll (DMG 42, MAB +10):
(2 x (42 + 70) +10) x (1.15) x (1 + 26/100) = 338 damage
So, it basically looks like Murderer + Supremacy wins out for QD by a very small margin, independent of how much MAB you have. Keep in mind that you need to give up some QD accuracy by dropping your second earring slot for Supremacy (ie. a Drone, etc). I'm not sure if the STR+6 would offset the 4 less DMG for WS, but I bet it would, especially with the extra RACC and RATT, and the STR and ATT also helps out melee hits. Or in more practical terms, if you're going to WS you'll probly be using Martial.
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