They do. Texas allows ariel hunting of hogs, there's no season, and no tag limit. I know lots of other areas have similar approaches of differentiating hunting laws and seasons when it comes to invasive species.
All the hunters I've known, have been an outdoor guys and nature conservationists, but also conservative usually.
I think they still have legal requirements about wanton waste, or at least best effort.
The no tag limit makes sense though, as they're an incredibly invasive species and the aspirational goal is removal.
None of this should be considered legal advice, I could be mistaken on the regulations. You should check them out yourself to make sure I'm not full of shit, or confused.