I don't believe there are Job coefficients, it doesn't fit my data either. However, there has to be an explanation why jobs hit for varying damage values at an equal baseline; this difference is more observable at higher Strength, yet damage values begin to overlap the closer I get to base strength... I assume this will be the case when I next do a test against WD.
EDIT:
For reference, as I have the most datapoints so far with a Dragoon and Ninja, here's how they both compare at 51 WD, 224 DET, varying STR:
Dragoon Expected = My Dragoon damage Model, very close to my parsed damage. So I'm positive my model for damage somewhat "correct".
This is what I mean. The damage at far end, 577 str for both, has a difference of 2 damage on the baseline at 100 potency adjusted. But at 310 Strength, there's a difference of 0.6667 at 100 potency adjusted.
What you're seeing is most probably all jobs dealing varying damage between 0.1-0.4 damage as you're working with such low damage values, but you're susceptible to rounding errors, so your parsed data just stacks all jobs together in the same damage bracket giving you a graph similar to what you have.
Once I've got Paladin and Warrior done and plotted them on that same graph to draw some comparisons, I'm gunna work with WD and see if I get a similar graph.
Personally, I think all jobs scale Weapon Damage differently. My current theory is all stats listed on the Character Panel page mechanically works and scales similarly between all jobs. Critical Hit Rating, Parry, Skill/Spellspeed, Vitality, the formula is the same for all jobs. The only outlying factor then is Weapon Damage which isn't listed and a base damage value which I labelled as value "C" in my model.
(WD*A+1)*(STR*B+C)*(DET*D+1)
EDIT 2:
This is what it looks like now with Paladin and Warrior data plotted on the same graph. Again, exact same stats:
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