You wouldn’t mind if I let my dogs crap in your yard once a week or so then. I could keep them on my own property, but why should I be bothered. Your yard is yard just like mine.
Dogs running loose is a threat to life and pets.
They can be seriously dangerous.
Please don’t pretend to be oblivious to the difference between cats and dogs and being kept in yards, the dog pet door releases the dog into the yard, the cat pet door releases it to the outside.
In many fine neighborhoods the cats move freely from indoor and outdoor, that is absolutely common in beach communities.