I didn't watch the video, I don't want to see animal being hit by cars...
That preface made, Unfortunately it is sometimes simply NOT safe to stop. It's easy to say "Oh they should have stopped", but not knowing how busy the street really was, how people drive, etc, you can't really make the judgment. I personally could NOT not stop, as long as it is safe to do so. However there are some roads out here where A) people drive 40 mph above the speed limit, B) one lane each direction, and C) there is no emergency lane. If you tried to stop on one of those roads, you would be dead, along with the animal you hit, and possibly several other people as well. I'm sorry, but if I hit an animal on one of those roads, I am not going to stop and endanger myself and others.
Having said that, I HAVE stopped before. One time I was driving on a road, it was night time and all of a sudden there's a dog in front of my. My husband was fortunately in the car, he jumped out at the first stop light (the ONLY place we could safely pause on that street), while I drove around the block until I could find a place to park. The dog was fine, went straight to its yard. If I was alone however, I probably would not have found the dog by the time I was able to safely park my vehicle and exit.