Alot of kiwis were coming to Australia and going on the dole right away. So alot of the benefits only kick in after residing in the country for minimum 1 year. But the benefits still exist.
I was referring to those who were rejected for residency in Australia, gain citizenship in New Zealand, then move to Australia to live/work.
I believe if you were born in New Zealand, its still (relatively) easy to get Citizenship in Australia, but if you weren't born in NZ and have NZ citizenship, it's much harder.