(Not a lawyer, no legal advice). I was very surprised and interested to recently read that basically not all service animals are in the same category.
The highest level is a certified animal who has gone through rigorous training and specifically helps an individual with a PHYSICAL (not emotional) disability. And this type of animal can ONLY be a dog or a miniature horse. Yes, a miniature horse. I am not making that up, lol. These types of animals can basically go anywhere their owner does with very, very few exceptions. The only exception specifically mentioned was a sterile environment, like an operating room.
The other type of service animal are the ones that are either for emotional support and/or a physical disability...but are either not a dog or haven't had the structured training. Contrary to popular belief, these animals do not need to be allowed everywhere their owner goes. If a restaurant/store owner does not want to allow a patron's service pygmy goat or monkey into their establishment, they do not have to. However, just because that is the case does not mean it can not lead to a lawsuit or bad publicity. And ANY service animal that is not behaving appropriately...ie is threatening, defecating, etc...can be asked to leave, even if they are a "highest level" animal.
Now, with all that said, there are still protections for owners of the "second level" of service animals and this is the part that is important for all of us. Even those types of animals must be allowed in lodgings (ie hotels) and rentals, with no additional pet fee/deposit.
However, if the animal causes damage to the rental unit, the owner is responsible for that damage just like anything else.
Curiosity question, I live in an urban environment that does not allow people to own livestock. But if an applicant came to me with a legitimate service animal that is considered livestock, like a pig or a goat, would their need for that service animal trump city laws? It definitely gets very sticky, doesn't it!
Personally, and this may not be the most PC thing to say, but I wish their could just be a blanket and legal standard in our country that...if person needs a service animal of any kind...it needs to be a dog, cat, or miniature horse. Because, if someone needs a service animal for anxiety, PTSD, emotional support, etc...and I'm not knocking that...than it seems like they can receive that same type of service from a dog or a cat. I'd even be fine with "grandfathering" in weirdo animals that are already service animals. But what I am not cool with is someone with anxiety issues deciding they need a service animal...and then PURPOSELY picking something bizarre like a monkey or a goat. I mean, if you already have anxiety so severe you need a service animal, than why are you borrowing trouble by choosing an animal that makes it more likely you will receive pushback about it? Just get a dog. Dogs are already the best species on our planet to pick up human social cues, which is yet another reason they can make fantastic emotional support animals.
As for a pit or any other animal/dog I might be considered about, I would include in my lease that the lessee is entirely responsible for any damage their animal causes to another person, another animal, or property. And they are also responsible to pay, whether justified or not, any fines the city levies on their animal (such as in a case where the city does not allow pits or livestock). That's their problem to go fight City Hall, not mine. I realize any clauses like that would not necessarily exonerate me from liability, but it would at least give the lessee something else to think about and they might just go wander to easier pastures.