This is very important.
Some teams have a tendancy to just pass the ball against the zone, hoping to get an open shot.
The dribble forces 2 defenders to stop the ball, creating an open teammate. This will stretch the zone and create bigger gaps to drive or flash into. Flashes from behind the zone into the middle or to the high post are tough to stop. These are basic principles of zone offense no matter what alignment you use. You should also stress running the break and beating the defense down the floor.