She says it won't be zeeo covid but that any cases of the virus will be squashed.
This will not work. COVIC, esp Delta, is very different to measles and TB. The whole "OK, we won't actually be zero COVID but every outbreak will be traced and crushed" appears to be a bargaining stage that people go through when it's beginning to dawn on them that keeping the virus out forever isn't viable. I remember Devi Sridhar (or whatever her name is) going on about "treating COVID like measles" a few months ago. She's stopped saying that now.
COVID will be endemic everywhere. Including New Zealand. And that's fine, honestly. The Spanish Flu virus also went endemic and became regular old seasonal flu. It's how pandemics of this kind generally end.
Long-term, all countries will end up in the same position.
NZ will probably have a lot fewer deaths overall than almost any other country, per million of population, when the sums are done at the end.
It's possible that the other effects of COVID, like effects on international openness and trade, may drag on longer in NZ, however, as fear of the virus is much stronger which will make it harder to adjust to living to the virus as it become endemic.
Trade offs, basically. Pick your poison.