My bird doesn't usually download on humans, although she did get the cat once when I set her on him (the cat's very much not a hunter. In seven years, the few times I've seen him stalk the bird, it was clear they were playing).
Our big problem is keeping her off stuff we don't want her on, since she does free-range the apartment (seems too mean to keep her in a cage all the time, especially when she's in one of her more social moods).