Ah, mumsnet, where children are angels, parents don't have to teach their kids how to behave around animals and dogs get the blame for everything.
If I have a dog on a lead in public they are very much under my control. I promise you. I've worked with a few large breeds who had no manners. I've worked with traumatised dogs, or those who didn't get enough socialisation at the critical age. I also handle bold horses. If a horse isn't getting away from me to eat your small child my dog isn't.
Being in control in public doesn't oblige every dog to be a fucking saint when children run up to, shout/scream and pat/poke/tap/grab/squeeze the dog.
My job is to keep my dog out of harm and from causing any harm. Your job is to keep your child out of harm and from causing any harm.
So for the love of God teach your child not to run up to and pat enthusiastically on the head in a way which in dog language means they're being hit or hug grab and squeeze the life out of my dog. The same with my horse and the same with wildlife. You see me and my dog on a lead and work out the circumference of the lead + arm + dog and keep you and your child out of it, and I will keep my dog out of your and your child's personal space and put further controls on where my dog is and can go. By all means ask me if your child can approach my dog, but don't be a spoilt brat and say my dog shouldn't be in public if I decline, or if they act fearful or fear aggressive if you breach boundaries. If you don't want to learn dog and d to teach your child how to speak basic dog I'll think that's a shame but I don't particularly care, as long as you don't, as some of these posters seem to be saying, expect your child to be allowed into my dog's space to do as they would to a teddy bear without consequence- from me, if we are all lucky, and from my dog if I don't manage to successfully take evasive action.
Teach your children how to behave safely around animals. If you have any questions about that, feel free to PM me, my bark is worse than my bite, I want your children to be safe really and my inbox is animal-free