How can you tell this happened more to dogs and cats than any other domestic animal? Many people report farm animals to establish emotional bounding too, typically cows wanting to play and cuddle, way more than the average cat. Cows are also considered sacred by a notable percentage of humanity.
I’m pretty sure there are thousands of other examples of traditions providing tales about why some animal is eaten. One Christian example that comes to me is Easter lamb.
I think your point is still the cultural bias I talked about earlier.