Air accumulators provide reservoirs of air so that props have air nearby when they need it instead of having to wait for it from the compressor. When props that use a high volume of air (such as blasters) need a lot of air they will draw it from everywhere they can get it. If you don't want those props steeling air from the accumulators then check valves should be installed. Check valves only allow air to flow in one direction.
WARNING: HYDRAULIC AND PNEUMATIC POWER SYSTEMS CAN FAIL THROUGH MISUSE, AGE OR MALFUNCTION. THE SYSTEM DESIGNER IS WARNED TO CONSIDER THE FAILURE MODES OF ALL COMPONENTS USED IN THE DESIGN AND ENGINEERING OF ALL SYSTEMS AND TO PROVIDE ADEQUATE SAFEGUARDS TO PREVENT PERSONAL INJURY OR DAMAGE TO EQUIPMENT IN THE EVENT OF SUCH FAILURES