There is something to having a monitor display at a higher than 60fps frame rate especially if the game runs and can process inputs at that higher rate as well. This just decreases the response time that a player can attain as there is literally less time between seeing something on screen and then the game reacting to the player input.
For a bit of background modern games tend to do game procesing and rendering at the same time in parallel, but that means that the frame being processed by the rendering system is the previous frame, and then once rendering has been submitted to the "graphics card" it can take one or more more frames before it's actually visible on the monitor. So you end up with a lag of 3+ frames rather than only a single one like you had on old DOS games and such. So having a faster monitor and being able to render frames at that faster rate will give you some benefit.
In addition this is why using frame generation can actually hurt the gaming experience as instead of waiting 3+ frames to see your input reflected in what is on the screen you end up with something like 7+ frames because the fake in-between frames don't actually deal with any input.