Er, yes and no. The AKL-PPT and LAX-PPT segments are on Air Tahiti Nui. This is a valid airline for a Global Explorer (if booked under the QF code), but not for a OneWorld Explorer.

On a OWE you need to go SCL-IPC-SCL and according to a strict interpretation of the rules this will be in economy even if your ticket is a higher class, although several people have reported here that this is not enforced.