I get it if you're a herbivore / some variant of & I'm a non hunter, but I totally get it as a hobby:
* Frugal
* Fresh food
* Skill element (I'm a city boy, I doubt I could successfully hunt anything without some training)
* Out in nature
It involves dealing with the side of food supply that most of "polite society" has now outsourced, but we also tend to outsource lots of other somewhat unsavoury or slightly arduous activities.
If/when lab grown meat is tastier & cheaper maybe I'd struggle with it, but right now i totally understand apex predators choosing to source food as a hobby.