It's interesting how much Arroyo's BABIP skill got once the Reds improved their defense. What's was the Reds' team BABIP allowed (1-DER) during Arroyo's time on the team? That's a better baseline for assessing his particular skill at limiting BABIP than league average.
I wouldn't be at all surprised to find that Arroyo demonstrated some ability to limit BABIP throughout his career, perhaps on the order of 10 points.