As a New Yorker who has been to both the Caribbean and Tahiti, the two places are quite different. Yes, the Caribbean is a place I expect to return to much more often during my life, as it is only a few hours away. However, Tahiti is special--as much as I love the Caribbean, I have never been blown away by it in quite the same way that I was by French Polynesia.
Is there enough demand to have as many flights from NY to Tahiti as there are to the Caribbean? No way, not even close. However, is there enough demand for a direct flight to PPT via LAX
a few times a week? Quite possibly, especially with the right marketing. My impression is that, while New Yorkers think of Hawaii as a long but not unreasonable trip, there is a sense is that Tahiti is on another planet. In part this is due to the fact that there is no single-airline service, let alone single-plane service, from the NY area. The fact is, however, it's not that much farther than Hawaii, and the time difference is the same.
Common sense is not so common. -Voltaire