I might make a different comparison:

Everyone who has played more than one video game knows that some just feel better than others. In one, your character is fluid and nimble, and in another, slow and clunky.

This is the result of many things, but a large portion comes from input lag and frame rate. More advanced users aren't necessarily more perceptive, they're just better at pinpointing what they're reacting to. (And in some cases, conscious of how an experience could be improved.)

This is similar to the study of any type of art. Whereas a casual observer might look at a painting and say "meh, I don't like it", someone who has studied art pedagogically can describe precisely what isn't working for them.

To add, how you play and what you play matters too. 30fps on a TV with a controller in a racing game won't feel that bad compared to 30fps in CS:GO with a mouse - where 30fps will make the game a LOT harder to play.

If you have an iPhone a quick way to see the difference between 30fps and 60fps is to open the camera app and move the phone around in Photo mode, then switch to Slo-mo and try it again. You’ll notice that slo-mo feels way smoother. On an iPad Pro with the 120Hz Liquid Retina display it’s even more noticeable.