That's not actually true;
For air transport ops:
(b) The pilot-in-command and first officer have satisfactorily completed an approved NZQN simulator exercise in a synthetic training device with specific NZQN airport and local topography features (visuals and terrain data).
(c) The pilot-in-command and first officer have completed a minimum of two familiarisation flights into and out of NZQN airport as an observer or as a crew member on a flight operated under the command of a pilot who is currently qualified on the aerodrome and is approved for this training.
22.2.2 A pilot previously qualified in accordance with paragraph 22.2.1 shall not continue to act as a flight crew member into and out of NZQN unless within the previous 12 months:
(a) The pilot has conducted at least two flights into and out of NZQN as a flight crew member; or
(b) The pilot complies with the qualification requirements of paragraph 22.2.1 above.
22.2.3 If the requirements of 22.2.1 (b) cannot be met due to the temporary unavailability of a suitable flight training device, then an alternate means of compliance for this requirement is the completion of a comprehensive CBT airport briefing package which includes visual depictions of the airport and surrounding areas, and the two familiarisation flights must be conducted in an observer capacity.
AIP New Zealand Link to AD1
In practice it's not strictly enforced in my experience or that widely known.
Also aircraft weighing over 5700kg need specific approval of the Queenstown Airport Corporation..that's in there too..Scheduled ops do not need to.
Contact Rob Leach at AirCenterOne..they also operate the QN FBO and he will organise everything. He's forgotten more practical stuff about business aviation ops in NZ than most've us will ever know!