Great ball handlers understand the importance of making sure that they stay out of dangerous situations like traps or congested areas where they may lose the ball. The push crossover basketball dribble drill is going to work on dribbling sideways out of trouble to avoid a trap, or a congested area. When you do the push dribble the goal is to get as much space as you can so that you can clear the pressure, and avoid turning the basketball over.
Also, you may not always be able to simply push dribble and you might have to change the ball to your other hand before push dribbling out of the pressure. That is why you need to practice doing the push dribble with a crossover, or similar type of move. Basketball drills like this are a must for any player that is going to handle the ball for an extended period of time during a game.