The remote gates at LAX were known as the Imperial Terminal. They were mainly used as overnight/ over "day" parking spots for international airlines. You can alway see a number of NZ, KE, OZ, and various Asian airlines in the afternoon hours.
They are also used as extra parking spots, as you possibly know that LAX Tom Bradley is a bit small. TN usually arrived during the early hours, and I always saw them parking at a gate in the main TB terminal. They were towed to the imperial terminal during the day time, while waiting for their returns to PPT during the night.
I am not sure about Bora Bora air service, but there may be some commuter actions there, but no jet due to limited runway capacity. All the jets go to Papeete.
Carfield