I meant that even though you appeared to be confusing refresh rate with frame rate, and certainly higher refresh rates made things look a lot better on old CRTs, higher frame rates than the max 60 fps possible on today's average LCDs* actually make a difference as well.
*(only "3D-capable" LCDs run at 120 Hz or 240 Hz and are therefore capable of actually showing more than 60 frames per second).
*(only "3D-capable" LCDs run at 120 Hz or 240 Hz and are therefore capable of actually showing more than 60 frames per second).