I live in Phoenix, and near our last address (which also was not HOA), there was a similar house with a horse or two and small animals. I assume they were grandfathered in, as Phoenix has historically been horse territory. I would RATHER have a horse and some quacking ducks and goats than a litter of pit bulls or blasting mariachi music at 10 PM. A number of people in nearby smaller cities (Tempe, Queen’s Creek) keep chickens.
It makes the city a bit less sterile.
San Antonio has city ordinances about livestock in the backyard. But this address is outside the city limits. So it’s up to the HOA to enforce restrictions.
My old city banned chickens, but everybody knew there were some around. Heck, this one family near me had one that was an escape artist and I’d see it every week or three down by the street, by the mailbox, pecking away.
We shortly thereafter reversed that earlier council, and made them legal with conditions. I think no more than 6 hens, roosters not allowed, and some setback limitations on where the coops could be.