Troublesome analogy there. Dogs don't go on auto-pilot, you should always be in control of them. A better one would be, if your washing machine had a factory fault and wobbled out the door on a spin cycle and mugged your neighbour, Hotpoint would be paying out, not you.
Would it not be as simple as your car, your problem?
If an animal you own hurts someone, you’re liable and not the seller/breeder.