It's not a liability issue. States generally have sovereign immunity over such things, and there is no legal requirement to protect people from wild animal attacks. This is more a matter of public safety, and humans generally come first.
Except house cats, of course. Somehow we've bred them to attack us with impunity.
I startled a cat I had when it was sitting in the window getting worked up about a cat outside and it turned on me with all it's murderous power, clawing my shins pretty bad.
I picked it up and put it in the basement.