Good for you.
Our kids have grown up with dogs and may have a better ken of their ways. So not a problem. That said, one can be assured that a responsible parent would have no issues at the High Park Dog run. The dogs are in full bliss and want nothing to do with people. Just each other. And from a kid's perspective, that's an amazing thing to see. Even if you don't have a dog, it's a great spectator place.
When I was a kid, we had a CKC registered kennel; my mother bred Newfoundlands, one of the gentlest breeds you'll ever meet. I know how to approach dogs, and even showed them as a kid. I've seen many a good dog, but I've also seen many a bad dog. Most dogs are fine, but even good dogs can be aggressively friendly to a two year old. And the bad ones; all it takes is a second. A dog can move 10x faster and is 10x stronger than a kid of two.
I go to Ramsden with my daughter quite a bit, and the off-leash area is too close to the playground for my taste, as I've seen dogs bolt after kids, and one even had a kid pinned down on the ground by the time a parent managed to intervene. The owner kept saying, "he never acts like that! He's never done that before!", but again, all it takes is once. Luckily, that child wasn't hurt.
I've also seen photos of a friend's daughter's face torn open by a dog that was not previously aggressive and had never once attacked anything, let alone a human. Four years later and she's still got a disfiguring scar that she will wear the rest of her life.
Dogs and young kids should be in controlled situations, and free range dogs are not a controlled situation. It also happens—as witnessed in the sheer flouting of leash laws in many parks, dog poo not cleaned up, and lack of obedience training—that many dog owners are completely irresponsible asshats.
