Yes, this is the same fruit. Naturally, the Noni Juice from Tahiti sold by Utah multi-level marketers is the ONLY TRUE Noni Juice that works (hehehehehe), but go for it. The price in the US is necessary to pay the 6 levels of distributors, and to pay for all of those late-night TV infomercials.
BTW, this tree is a natural medicine tree. Other uses include:
If you have a fever, take a leaf , which is large,deep-green and shiny, and lay it on your forehead for about 20 minutes. The fever will break and go away within a half hour.
Also, if you have a sprained ankle, wrap the ankle and swelling area with leaves and the swelling will stop and decrease, and also lessen the pain.
The old-time sailors knew this tree, and in many places where boats can be brought in to shore, you will usually find these trees nearby. In the DR, I see noni fruits being sold on small tables in the Juan Dolio area , near the beach, and have seen many trees there. The fruits being sold are usually green and not ready to use. Give them a day or two in a paper bag until they turn mostly white.
To make your own Noni juice, you can put the fruits in a blender, when they are white and starting to get squishy and smelly, and run the blender on puree for about a minute. Take 2 tablespoons first thing in the morning before you eat, and you get the benefit.