The way I see it is:
Resident & Nonresident License Requirements: No hunting license required, except during youth deer gun, deer muzzleloader, deer gun, holiday antlerless deer gun, elk gun and antelope seasons, hunters must possess a filled or unfilled license appropriate for the current season, unless otherwise exempt. A Legacy permit is also required unless exempt.
If its not during any of these seasons he is exempt. They do not want to catch a person without a license during deer season holding a high powered rifle and he says " I am hog hunting". Look at the Prairie dog regs and it specifically states:
License Requirements
Residents and Nonresidents: A hunting license and a Legacy permit or proof of exemption.
Your interpretation is correct (in my Opinion)