the way nz and aus works if you get citizenship in either nz or aus you can just wander into aus/nz and stay forever. you get a free instant 444 visa when you enter aus as a nz citizen. same for aus to nz. it's easier to get into nz then cone to aus butttttt... you can't enter nz without going through aus and if you have a lucky country passport you can't even get a transit visa to pass through aus easily. you basically have no chance unless you are rich or... really rich.
Australia