Indigenous can be read in many different ways. Some link the idea of indigenous to notions of race, to being "Amerindian", to ideas of ancient ancestry that predates that of all other groups resident in a given territory. Others see indigenous as being local, as belonging here, as being native in a broad sense.
Sometimes the differences in these ideas of indigenous can occasion real struggles, for example, the way the Guyanese Organisation of Indigenous People wants the Guyanese Government to stop using the term Amerindian (as in Minister of Amerindian Affairs) and to use the term indigenous when speaking only of those who have been called Amerindian. The government refuses, thus far, saying that all Guyanese are indigenous, as in native, as in born in Guyana and belonging in Guyana.
There doesn't appear to be a "correct" answer here that everyone will agree with, let alone a simple solution. I think the best we can do is to fully air all possible sides on this issue. Can "indigenous" in the Caribbean today really be a matter of "race"? Is indigenous rooted in DNA percentages? What do you think?