I couldn't watch that video.
I think it should be on a case-by-case. For example, if you come on my property uninvited and one of my dogs takes a bite out of you, your fault. You entered their territory without permission from the owner. (I have two old cockers and a lazy old beagle, so this is purely hypothetical)
If I let my dogs roam loose around the neighborhood and they bite other people or kill someone else's pet, my fault. I am being negligenct in caring for my pet and endangering the saftey of my neighbors.
I've had to sue a neighbor for vet bills in the past. About 8 years ago we lived in rental house in a rural area with each house about 100 yards apart. Backyard fence was a 4-foot livestock wire fence with the squares that a dog's head could easily fit through.
The neighbors to my left had two pitbull/mastiff mixes that they let roam loose to the point they were pretty much feral. These damn dogs were massive. I'd run them out of my driveway many times. They were afraid of humans but showed signs of extreme aggression if they saw our dogs in our fenced back yard.
One day my beagle was baying his head off and it sounded like he was injured or something. I thankfully happened to be messing around in the back yard when I heard one of my other dogs "scream" and took off running to the fence baseball bat in hand. Those dogs were on the other side of the fence (still on my property) and they'd pulled one of my cockers head through the fence. One of them had him by the ear and the other one was going for his throat. I hopped the fence without hesitation and hit the one that still had my dog's ear in its mouth in its face with the bat (felt good at the time, felt guilty about it later) check
website dedicated to Chow Chows. It ran off and my dog pulled his head back through the fence, bleeding heavily. My dog ended up needing 16 stitches in his jaw/throat and it cost me close to $2,000. I filed a police report the next morning with pictures of the injuries, copies of my vet bills, pictures of the attacking dogs on my property and pictures of damage to the fence. Neighbors refused to pay my bills when I politely asked. So, I sued them for vet bills and fence repair. Judge ruled in my favor and ordered them to surrender the dogs to the county or face criminal charges because, unbeknowst to me, this wasn't the first time they'd maimed a neighbor's pet. We never spoke another word to each other and we moved shortly therafter.