None of them show that because the dog is a X breed that this is what caused this to occur. They're just spinning your narrative that if we just ban X more breeds than people will be safe.

Of course having a large breed dog is more likely to be able to cause fatal injury to an infant because infants are small and large breeds are...large. So is a horse, does that mean we should ban all horses? No. It means that we should take appropriate safety precautions to keep infants and babies away from each other.