Rather, it really heavily depends on what you consider to be a legitimate say.
They have no legitimate claim over what I do during the time that I'm not being paid. I may contractually agree to certain narrow restrictions (such as not talking about the company or the details of my work), but generally, my time is my time to spend as I see fit. In my worldview, any other stance is my employer making some sort of ownership claim over my life. That's unacceptable to me.
If what I do in my off time adversely impacts my performance on the job, then my employer can reprimand or fire me for poor performance.