Why does High Frames Per Second Matter?

This is coming from someone who has yet to game on a truly high performance modern machine. So maybe that is why I have this question. But if the human eye only perceives 30-60 frames per second why does it matter that games run in +100 frames a second? Is it like 8K resolution, at some point we won't perceive the difference between these high resolutions unless we zoom in on the video.

Thoughts and explanations?...

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