Common sense isn't always true. It can be wrong. There's good research to show that shooting individual hogs makes them more wary and harder to trap. The goal is to get the whole sounder at once. Common sense would say "shoot a hog if you see one".

And hog hunting also incentivizes people to move hogs around because people secretly love hunting hogs and they want more of them.

Some midwestern states have outlawed hog hunting to remove the incentive to bring them there. Because that's how hogs are moving in many cases.