Wow, there are actually people emotionally invested in this?
Why wouldn't there be?
Because frankly I can't think of one reason people eating dogs would be offensive. People eat rabbits. Bunnies are cute. People still eat rabbits (and they don't even taste all that nice).
Dogs aren't anything like rabbits so the comparison doesn't make sense. Have you ever owned a dog or do you know anyone who owns a dog? If someone who owns a dog decided to cook and eat it, would you find this to be normal?
Well, you don't keep pets to eat them. Some people have a pet pig (and pigs are more intelligent than dogs, etc. etc.). Should we stop eating pork? I can see why you would have some reservations about eating dogs yourself. I personally don't like qualis because they look like someone commited a bird massacre on your plate. Still, I'm not offended by other people eating quails.