Even if this is true with respect to the presence of pets, the problem here is presumably persistent barking. Responsible dog owners are no more favorably disposed than you are toward irresponsible dog owners. What makes you think someone with a well behaved and well loved dog is not equally annoyed by the noise from a nearby dog that is (for example) irresponsibly left outside unattended for long periods and barks anxiously? Perhaps even more so, since an anxious persistently barking dog tends to make other dogs excited or anxious.
But you just seem to be adopting a passive aggressive defeatist attitude that presumes that the world is full of unreasonable assholes who are all ganging up to try to make your life a misery. That way lies madness.
Just to say - the first approach should be framed much more amicably than a complaint. The only time I’ve had an issue in my neighborhood, the elderly dog owner was simply unaware that her little doggo was screaming with an astonishing noise like a human toddler being tortured when she went out and left it in her courtyard! She was genuinely upset to discover her dog was getting so stressed, she just didn’t know it was happening. This was the first time I interacted with her because she’s not an immediate neighbor - she’s now a friend. I honestly don’t have a lot of time for small yappy dogs, but if I’d approached with an antagonistic attitude, the outcome might have been very different. As it was - one friendly conversation led immediately to two happier human beings and a happier dog.