To non-hunters who try and paint sportsmen as bloodthirsty killers devoid of compassion, this video must seem very odd. While it does not appear that the hero of the clip was actually hunting at the time, a quick google search will reveal countless stories of hunters actually saving game from entanglements, from having fallen through ice, and plenty of other situations. While I have never been in this situation myself, I believe I would act in a similar manner given the opportunity.
Most responsible hunters believe in karma, they abhor suffering. For most hunters it is not about killing, it is about a contest between prey and predator, requiring patience, knowledge and skill, that only culminates in the shot itself.