I forget the details because, frankly, it had no impact on me, but at one company, I remember a new executive simply not being able to fulfill some of the dutie

I forget the details because, frankly, it had no impact on me, but at one company, I remember a new executive simply not being able to fulfill some of the duties of his new role for several months until his non-compete expired. If the company wants you bad enough, they will find a way to make it work.