The vid should play from multi points of view with the commentary on the first time round but you do have the choice of watching the multiplayer gameplay from anyone's perspective with the buttons highlighted on the bottom of the Youtube vid window. Or as it states on Youtube:
INSTRUCTIONS: Turn Annotations [ON] | The in-game HUD elements like health bars, jetpack meters, and player names have been hidden for this video. You can track Goliath's health and Hunters' incap states from the controls at the bottom of the screen. Use the annotations on the same overlay to switch between perspectives in real-time throughout the match.
Love this and can't wait to try it out!