Ok...here's what I did. I played the video over and over again and tried to freeze it and took snap shots of the video in sequence to prove that the dog did not snap on the handler.
On the first pic, you will notice the handler's hand is about to grab the tug.
Second pic, the handler's hand is not visible but she has a hold of the tug and has started to pull the tug away while the dog has a hold of it. The dog's head has started to turn towards the direction of where the tug is being pulled to.
Third pic, you will notice that the tug is being pulled away from the dog's mouth causing its lips or snout to 'lift' with the tug as it is seperating from the dog's mouth.
I did my best to show this and if you play the video over and over on that part, it will become obvious that it is not a snap.