Growing up in NZ, If you championed free market capitalism and privatisation, you would definitely be considered right wing. That is the Economist's bread and butter.
That NZ's major left wing party was and is still a big proponent of these policies didn't change that.
Today, it could be argued that neoliberalism has moved the overton window, but many, many people still don't buy it.
I'm not sure it does "champion privatisation". I've read some pretty damning reports on bad privatisation, for example about the problems from rail privatisation, as well as on monopolistic practice by big companies. I would say it's rather more nuanced than private good, public bad.
That NZ's major left wing party was and is still a big proponent of these policies didn't change that.
Today, it could be argued that neoliberalism has moved the overton window, but many, many people still don't buy it.