Yes, he should go to the bench. You can give Simmons, Butler, Anderson and even McCallum chances to see what they can do. He needs a change of pace.
That said, he's dribbling more because Pop wants him to. I imagine he's trying to figure out a way to make Green more of a threat with the ball so teams can't just rest players on him. Against the Warriors, people want Parker to play well so Steph has to work, but Curry will be on Green, so it won't matter what Parker does. Danny's going to have to force Curry to play defense, so sitting in a corner is not really an option.