No. Refresh rate and FPS are two totally different things. If you were watching tv at 50Hz and could detect some of the horizontal lines, you'd find this resolved a lot better with 100Hz. 100Hz basically means it is progressive and draws every line of an image at once instead of interlaced which draws the odd and even lines separately with a short delay between them. This basically halves the bandwidth which was useful in the old days.
So the picture would indeed seem a little smoother at 100Hz but if there was a lot of slowdown in a multiplayer game for example, it would still jerk whether it was 50Hz or 100Hz as it is not do to with the frame rate at all.