I don’t think much has been said about hunting. There was a short scene of the player shooting a wild boar in the trailer and there is a non-interactive snare in the alpha. My prediction is that there won’t be any specialized system for hunting, but it will be part of the game through crafting system (making snares, items), economy (selling pelts or crafted items) and fighting system (Bow and arrows).
What remains to be seen is how our fellow companion doge will actually work in the fighting system. Also I’d like the animals to be very cautious and quick (a lot of games makes animals move slower than they should).