As a dog owner I find non dog owning parents to be far more unpleasent and entitled than any dog owner I've met, particularly when I am with my dogs.
Please do not allow your children to follow me and my dogs, I won't slow down or stop so you can catch up. I will keep walking, if I am in a really nice mood I might suggest to your child that they wait for you at the crossing instead of continuing to follow me across the road. I do not want to talk to your children. My dogs do not want your children to talk to them.
Also, no, I will not put my dogs back on the lead in the off lead section of the park so that your PFB can practise his football skills. There is an entire park for children, us dog walkers get only a small section, I really don't care if the trees make excellent goal posts and yes, my terrier is likely to chase the ball, he's a terrier, that's why I only let him off in lead in certain areas, such as the dog section of the rather large park.
Ditto BBQs on the dog friendly part of the beach. I'm afraid my dogs probably will chase each other past your BBQ and kick sand in your hotdogs, but you have an entire, dog free beach just 10 minutes that way.
On the whole 99% of people, both dog owning and none are tolerant and peaceable, but when I do have an issue, 9 times out of 10 it is with a parent not a fellow dog walker and it happens in an area that my dog has every right to be in, during summer. Bring on the winter I say, then I can begin to enjoy my peaceful walks again, without the hassle of having to make sure I don't upset PFB parents.