Force the Defense into Mistakes 
When you play multiple pick and rolls every possession the chances of the defense making a mistake are very high. Ball screen defense involves 5 defenders covering for each other and being on the same page at the same time. When you force most defense to go through this progression of reads to guard multiple ball screens there is a high probability that someone will make a mistake or blow a coverage.

Give Your Team Confidence and Consistency
Your team can play with confidence and consistency when they know ahead of time the areas of the court where ball screen action will take place. Establishing clear patterns of offensive action will give your team confidence they can execute at a high level. Ball-handlers will get used to making consistent reads coming out of the pick and rolls because they will become comfortable in those situations. Bigs will know where they can get their touches and will have clear purpose within the offense (when a lot of times its difficult to get big men involved). 

Everyone Gets Involved
Whether you are a big, play-maker, or wing everyone has an important role to play in this type of offense. Your lead guards will get a bulk of the decision-making responsibilities, but this can be distributed throughout the entire team as other players develop their skill set. Wings are able to play against closeouts because their defenders will be helping on bigs at the rim. Bigs will have clear directives to set screens, post up, and roll to the rim. The most important thing is that everyone touches the ball on nearly every possession.

Multiple Sides of the Floor
The continuity aspect of this offense helps your team extend possessions and play on multiple sides of the floor. The more you make the defense work, the greater chance they will make a mistake and give you an easy look. It can be difficult to convince your team to pass up good looks for great looks. When you implement ball screen continuity the offense naturally flows into multiple actions on multiple sides of the floor within the same possession. 

Maximize Your Strengths and Attack Mismatches
Ball screens put pressure on the defense to make tough decisions. Will they switch? Will they hedge? Will they deep drop? Will they help from the weak side? These are just a few of the decisions that a team has to make every single time down the floor. If you have an advantage in just one area (i.e. a dominant post presence or dynamic guards off the bounce), you can isolate mismatches and tweak the offense to capitalize on your advantage.