And context is what renders your application of the term "ball dominant" meaningless.
I was able to access the database and after looking for myself, I quickly realized you simply aren't painting the whole picture.
Only one team in the entire NBA dribbled less per touch than the Warriors, meaning, the ball wasn't touching the court much as it's being passed around (a notion supported by the fact they led the entire league in team assists).
You mention Curry's average number of dribbles-per-touch, as if it's an inordinate number, yet you fail to provide the context that he's ranked 93rd IN THE LEAGUE in that category, lol. He's also ranked 97th in the league in average time-per-touch.
Of course he's going to lead his team in those categories. Why? Because someone has to. As the PG, he's going to have his fair share of touches taking the ball up the court and dribbling. Even then, his numbers comparatively with the rest of the league aren't even in the same stratosphere. And if you look at Shaun Livingston's numbers, the backup PG, you'll see they were very close and not this huge delta you were making it seem.
In regard to Barnes. Yeah, Barnes wasn't dribbling much because he's evolved into a spot-up shooter. While his dribbling has improved since his college days, he's still not comfortable trying to create his own shot or take guys off the dribble. He's best in transition and as a spot-up shooter which limits his offensive potential.