What is busy work? Is it just what it says, something to keep you busy that is of little or no value? I believe busy work begins with something to do. Whether it is of no value depends on the person doing the work. If that person thinks its of no value then it will not be; however, if that person begins to work with this it can always be turned into something of great value and asset to the company.
Look for the importance in busy work. Make that subject into something so that the company you work for will see the value in you as an employee. Life is what you make it. It is all up to you and your choices and attitudes.