To be fair, if dexterity is related to hand-eye coordination, then yes, accuracy would be logically increased with it (despite not in game).
But with increased hand-eye coordination and accuracy, your precision will likely increase (keeping in mind, this isn't an exact synonym with accuracy).
Precision being one's ability to continually hit the very same target over and over. IE, if I'm shooting arrows and I'm hitting the same spot in the 3rd ring outside the bullseye, then I am precise, but not accurate.
If one's precision and accuracy were increasing in tandem, then being able to hit the same exact spot on a mob over and over could logically increase dmg, ie, weakening said spot to more attacks.
Yes, it is obvious STR would increase damage, but logically it is not out of the question for DEX to be able to do so as well for certain jobs, particularly jobs that benefit from more tactician/strategy attacks...like ROG/NIN perhaps?
