Short answer: no.
Long answer: It will determine whether or not the game might dip below 60 dos ever. For example, I get well over 200fps on CS:GO and my screen only shows 60hz so I am only seeing 60fps, but since it is so high I don't have to worry about it ever dropping below 60 and me seeing anything lower. But, in more intensive games like GTA V, you are going to want your fps to stay above 60 fps or you'll start seeing it. So getting it to stay at 80-100 fps is great because even during intensive scenes that really tax the gpu, it will drop but not much lower than 60. Of course, this all only applies for a 60hz monitor.