I’m trying to connect your story about the dog - is that the crumbs? Because it’s not very indicative of appreciation for dogs. Don’t know about Mohammed. Most Arabs prefer horses.
Then there is analogy of disgust - as a dog turns back to its vomit.
Winston Churchill was a cat lover.
Adolf Hitler hated cats and loved dogs.
Recalling Ancient History, it was a Chinese Emperor who cut off part of his garment so as not to disturb his favorite Cat.
Never read of any good deeds from mo - ham - med, [who incidentally married a six-year-old girl/ child.]
It is interesting muzleems fear Pork, yet old mo himself was named after a Ham Bone.
Matthew 15. Jesus addresses the Syrophoenician woman, telling her that it is not right to take the children’s (Jews) bread and give it to the dogs (Gentiles). Granted, dogs weren’t regarded the same way we are today.
But the woman doesn’t give up, she responds in faith, pointing out that even a dog has “rights”—the rights to the crumbs and scraps that fall from the table (or are unfit for the family’s consumption.