Thought & opinions on signing a non compete form as a group fitness instructor?

I am a "freestyle" instructor at a Les Mills gym with no interest in teaching Les Mills. I teach one of the only two free form classes on the schedule. A gym is being built 10 miles away that will not be Les Mills. I'd like to take a class there but my current gym is requiring me to sign a non compete. I will never be able to increase the # of classes I teach because they will not add any more free form to the schedule. They say signing a non compete creates a real team feeling and will help us feel loyal to the gym. Signing a paper doesn't create loyalty, it is how I am treated and paid! What are your thoughts?