I think this varies a lot from person to person. I find the effect to be incredibly subtle - one of my monitors reset it self to 60hz a while back, and I didn't catch the problem for days.
Conventional film projectors don’t show each frame continuously, they transition the shutter blade smoothly between frames, and projectors often flash each one a couple of times (48 or 72hz). A cinema projector is going to demolish a LCD in smoothness and motion quality even if it technically has a higher refresh rate on paper.
Either way, DVDs were digital 29.97 fps at most.
I don't really get the obsession with smooth movement for desktop use (as opposed to gaming). Possibly this is a generational thing? Why is anyone intentionally using a computer primarily via slow analogue inputs?