NZ used to have flights between HNLPPT way back..now there just isnt the demand anymore.
Most Hawaiians take vacations to the mainland..esp. LAS
Visitors to Hawaii are mostly Japanese and Americans and they tend to not combine hawaii and tahiti in the same trip. For those that want 1 week in each that is why the HA
once weekly flight exists.
Despite the "historical" links between Hawaii and Tahiti there is no more desire for local travel or VFR travel between the 2 - most Tahitians go to US, France and Australia.
I am sure if there was demand then Air NZ
would continue to fly the route. In fact there are not many intra-pacific flights anymore - no US carriers fly HNL
to Oz,NZ, Pacific like in the past. Few flights on NZ
anymore as well.