No, that isn't it, re-read the article. The illusion is supposed to be that three flashes that are not evenly spaced, or are even spaced out of order (1--3-2) get perceived by the brain as evenly-spaced an in order.

Look at the explanatory diagram with the labels "What our eyes see" and "What our brain "sees"" (the third image on the page).

The gif is just broken. It's supposed to have a space between the second and third flashes.