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.
We've been enforcing this rule for long enough that most animals avoid attacking humans even if they could easily kill us. The rule has been written into their genes through sheer evolutionary pressure.
Except house cats, of course. Somehow we've bred them to attack us with impunity.
If they were more lethal we would probably do more about it.
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.