Yes it does. In my entire BB career, I have played either Motion or Low Post. If the big man's DR is able to overcome the defender's OD/ID/SB, then in theory, they should be able to convert a good number of drives. According to the Game Manual, when a player drives, they are creating their own shot. Better driving creates shots more often and creates better shots on average.
On the flip side, I have a big that had atrocious DR. As a result, he doesn't take too many drives, which is probably since he knows that the odds of him making one are slim to none. Since he can't drive, he would probably pass or take a jumper/IS a bit more than if he had a decent level of DR.