At 0:47 the video clearly shows three fingers on the "top" part of the egg. At 0:58 the ping pong ball exercise clearly shows three fingers on the top part. The break at 1:08 also has three fingers on the top. But then for some reason at 1:12 the performer switches to two fingers above the break. The double break at 1:33 also shows two fingers above the crack.
Some of the egg breaks in the video pull the halves away from each other and other breaks use a slide or shearing/transpose movement to create gaps between the halves.
There is nothing in the video about how close to hold the egg to the palm of your hand. With the dozen or so eggs I tried the key was (counter-intuitively) to hold the egg close to your palm so that the pads on your palm act as a fulcrum as you try to pull the halves apart. If you just hold the egg with the tips of your fingers its difficult to create the necessary space. But maybe that's just me and my lack of dexterity.
I guess instead of complaining I should create my own video.