Nice post Muragan though it seems some inconsistencies.
Archer2 Heavy Shot did vastly more damage in the 3rd attempt, its not even a min-max at that point. Either both crit or both were stacked w/ Blood for Blood. The same with the Quick Nock that did 276, it was either a crit or a BfB and Archer 1 didn't ever get a crit on it to have a comparable "max". Overall Archer2 seems peculiar, attempt 2 he did not have Raging Strike up or something?
Archer2 also has superior gear to Archer1, but sorta ties him? I guess is what the chart says overall. Moogle is just sorta a blah fight to do tests on because theres too many random factors and the sample sizes are often small. Also you did not test anyone with stacked STR, all 3 archers in that have similar gear sets.
My ARC stats are 298 STR, 271 DEX, 545 ATK, 240 PIE and I do 20k+ more damage than the 2nd highest ARC in the Moogle fight. Theres not really any way to tell if its my gear, skill, rotation, etc thats causing that due to how many different scenario's can unfold in the particular fight.
I would like to know though is your damage %'s. My set up gets me 35-40% of my damage through LS/Barrage and the other 60% through WS's. It would be interesting if these high DEX set ups get 50%+ damage through LS/Barrage, then you could make a case such as:
DEX/PIE only increase LS/Barrage damage where STR/ATK increase WS damage. If DEX and PIE also increase WS damage then the ratio of a high DEX/PIE build should still get 35-45% roughly of its damage through LS/Barrage.
That was my original assumption when I allocated my stats on ARC, is that DEX/PIE is only going to affect LS based damage moves (just LS and Barrage) and STR would have a more profound effect on WS's. Its already clear STR and ATK have a very marginal effect on LS/Barrage but it doesn't seem like anyone did a solid test of WS damage yet.
This would also lead to more variants of ARC to test to find out if its better to pump WS damage or LS damage, or find a happy medium between the 2.