udm and hannibal - in a sense, I think you both are right, I think guys with lo distro get more assists and I think distro only affects shooting - let me explain:
think of this extreme example, if I set a near 1000 rated PG with high everything to half my touches, he is only eligible for assists on only half the shots, his 0 distro running mate, is eligible for assists on 100% of the shots made while he is in, this might mean for the season, Mr Star player gets 1.5 assists per game, Mr passer gets 3.0. Even if they have identical point guard like skills, the zero distro guy will get double the assists. My experience says this is about how it works, although, I think the PG position by definition out assists the SG position, the SG position out assists the SF, the SF out assists the PF, PF>C, even if all assist related ratings are equal.
IMO when double teams come to the guy with all the touches, the game does not differentiate his passing the ball out of the double, but he would take fewer shots, hence his assists would go up, but only slightly, the zero distro guy still will beat him over the course of the season.