Unfortunately with the age of Blender in the recording, the values used in the nodes aren’t reliable with 2.79 / 2.8. But what the values do to the textures / shader, that’s still applicable.
So the biggest issue I see is that the voronoi textures aren’t stretched at all. If you look at 5:09 in the video, that’s the kind of stretching I’m referring to. Once that’s stretched your version should look much more like ocean waves than plain voronoi.