I would question that and rather hope that it has a basis in Lokono and Garifuna, which is a direct descendant and the other Arawakan languages that still exist, also some Mayan framework as the Mayans were proven to have been on the islands and have influenced them greatly. I dunno wouldn't it be colonial to just speak Spanish with Taino words, in that way the framework is still Colonial, no?
I believe that the grammar might be more Mayan based than Arawak in this case, if it's the Chib'al'o movement. They base their reconstruction efforts more on Yucatec Mayan, rather than Arawakan languages, not totally off base since the Mayans; mostly Yucatec, did visit the islands a lot. It will be very interesting to see what it looks like.