That doesn't even make sense. You may be less-susceptible to the refresh rate--many people are--but for someone who notices it, the only solution is faster refresh.
LCD's don't refresh like CRTs do. The frame is basically persistent until the next frame comes.
What _does_ "refresh" is the backlight in the sense that the brightness is controlled by PWM. However, there are many monitors that use PWM frequencies in the several hundred Hz range, or don't use PWM at all.
It makes sense. The rate is the rate at which new imagery can appear on the screen. It says nothing about how much of that 1/60 seconds it's visible, and it could be all of it. By comparison, on a CRT not even all the pixels are lit up at once, so 60Hz on a CRT is unbearable to me (I could bear 75Hz, but 85 was nicer), while on an LCD I'm okay with 60Hz.