Born in NZ and lived in Oz now for 27 years. My view is this NZ has a lot to offer in the way of hunting and fishing but jobs paying decent money are hard to find.
Australia also has plenty of hunting and fishing , but the opportunities here are better.They are two different countries.
It is the same as towns each one is different. Take the good bits , don't worry about the rest too much , Don't whinge ,look at life positively . I went to the US 2 years ago to enjoy myself for 7 weeks, Had a ball , mindset was to find at least 1 thing a day that was enjoyable, This i easily did and had a great time