It might be fair to say that it is moving but also staying in the same position, as mentioned at the end of the article. To say it's not moving is like saying an animated sprite in a video game isn't moving either - sprite movement is just an "illusion" of continuous motion rather than the discrete appearance and disappearance of separate images that it really is.
I wonder if when film or flipbooks were first invented, people considered them to be an optical illusion too?