teceem: OT: I've never experienced a high refresh rate monitor myself, but what I conclude from online discussions: 
 - People into fast paced and/or competitive games: they all (most of them?) find: more Hz/fps than 60 = better. 
 - Anyone else: they're divided on the 'issue'.*  
 I'm in this category. I have a 60 Hz screen, but some games at an fps a lot lower than 60 fps can feel perfectly 'smooth' to me. Knowing that, I just can't imagine that an fps higher than 60 would ever matter to me. 
 Gede: That is what I am trying to understand. It may be unimportant to me, 
or maybe it would be important once I tried it but I won't miss until then. 
 Not all competitive games need more than 60 fps, some are even locked to 60fps despite 144Hz screen support (eg fighting games). It highly depends on the game and how sensitive you are, myself fall in the same category as 
clarry, I tend to be more sensitive to input lag than to high refresh rates. However some games play 
way better with high fps and no V-Sync, CS-GO is the classic exemple.  
 As a exemple 2 "similar" games I know quite well Dirt Rally and Richards Burns Rally, both are considered the "best" Rallye games (until Dirt Rally 2) towards the simulation side. 
 Dirt I can play with V-Sync on, there's considerable input lag but once used to it, becomes almost not noticeable and lap times fall in the same range. 
 Richards Burns is almost unplayable with V-sync on to the point of crashing in almost any stage. Disable V-Sync and run it at high refresh and suddently all the crashing is gone, driving is smooth as. Not sure if it's the physics, the input lag, the old v-sync implementation or placebo but is way easier to control the car at higher fps in a 60Hz screen.  
 Currently playing Shadow Tactics and I'm ok with 20-30fps... Movement is jerky and more strain to the eyes (on a very subject opinion) but very playable. 
 The previous game I played, Mirror's Edge, had lot's of input lag with V-sync on. Turn it off and the camera responds almost instantly to mouse movement. 
 Fun fact: 1 person on my family who is sensitive to motion sickness on First Person games is usualy able to play without V-Sync and not with V-sync on.