I don't know what the source of this info is but I would say that this is false. There is no way that the US would allow visa free travel for anyone from the Caribbean just because you're a native. Heck, one of the last things Obama did was shut down the "wet foot dry foot" policy for Cubans.
These days if you only read about it on the net, it's more likely to be false given the garbage that's out there.