Also, timelapses of long exposures can give a wrong impression of how it moves. But has for a long time been the only way to actually see a video of it.
It's often not that slow and wavy in real life. It's more like watching an orchestra play, where suddenly someone plays a flute in the corner, and then a few moments later a trombone sounds from the other side. It's dramatic and beautiful when it's really on.
But modern video cameras are now good enough to capture this in real time, so hopefully we'll see more realistic videoes.