It's more complicated than that, brain cuts out the blurry "in between" frames when you move your eyes. Which means it has to extrapolate the images from before the movement to fill the gaps. There's many weird effects of this hack - for example when you look at something moving very fast (like wheels of passing vehicles) but don't move your eyes - it looks blurry. But when you move your eyes - the frame in your brain "freezes" and you can notice non-blurry details on the fast moving things. There are even ways to force eyes to see stuff from the past (like seconds' hand on a clock moving at different rates depending if you move your eyes).

You can't actually say that human eye has a strict fps, so the higher screen fps the less weird interactions with the ugly hacks in our brains.