I flew from CHC to AKL with AirNZ, claimed the points. Then from AKL to NAD to HNL with Air Pacific, claimed as partner of Qantas with OneWorld.
Then flew from HNL to SEA to YVR with Alaska Airlines. It's in its own special Mileage Plan thing, but the wiki page says it codeshares sometimes with some OneWorld airlines:
The airline's frequent flyer program is called Mileage Plan, and their lounge is called Board Room. Alaska Airlines is not part of any of the three major airline alliances, but has codeshare agreements with airlines that are prominent members of Oneworld, such as British Airways and American Airlines, as well as prominent SkyTeam members like Air France and Delta Air Lines.
Is there a way for me to find out if I can claim it for my Qantas (or heck, my AirNZ account if I can!) frequent flyer miles?