As someone who doesn’t own one of those breeds, I do find it comforting.
Basically, the best thing you can do to protect your child is simply to not own one of those breeds.
I am a dog owner and dog lover. My dog is not a “bully breed” and yet I understand that by owning a dog, my children are at greater risk of a dog attack than if I didn’t own a dog.
So, as a responsible parent (and secondly, as a responsible dog owner) I have taught my children how to interact with dogs. My children would NEVER run up to “help catch” a strangers dog. In fact, my children pretty much ignore dogs in public (beyond the obligatory “mummy look at that Labrador it’s so cuuuute!”)
By not teaching your child this, you have increased their personal risk of dog attacks.
To me, mitigating risks of random dog attacks is just one of those things we teach our kids, like waiting for the Green man to cross the road, not taking sweets from strangers, and so on. Thankfully, random dog attacks are really rare, just like child abductions and being knocked down are. Doesn’t mean we just pretend it doesn’t happen though, nor does it mean we live our lives in constant fear.