That isn't true, but the fault isn't OLED and not everyone perceives this motion stutter because their brains have become accustomed to bad motion.
LCD and OLED rely on a technology called sample and hold for motion handling, this tech does not work well with low 24/30 FPS content which in its native form is a stuttering experience, older displays technologies like CRT and plasma did not use sample and hold so didn't have to deal with this issue.
As LCD's began to replace CRT/plasma motion handling of low FPS content was generally not an issue due to the slow response time of LCD's combined with various motion processing techniques by the system on chip built into the display (not things like trumotion that is an extra layer of video processing on top).
However OLED and modern LCD displays now have very fast response times which expose the native stutter of low FPS content, some video processors built into TV's are better than others (Sony's for example) but the problem wont go away until content stops being made at low FPS, sample and hold works better the faster it is for improving motion clarity and smoothness. Thats why high FPS gaming is so popular once you get used to it your brain/eyes adapt and anything below 60fps is unpleasant to use.
It depends on the induvial and how sensitive they are to motion stutter, I can see it now much more often (in the past I was oblivious) , anything with panning shots in 24fps video or camera pans in 30fps games, I've resorted to using tumotion on low levels to counter it for video as LG's real cinema at 24Hz was simply not good enough.
You can see
rtings ratings for stutter with more info.