I'm describing musical history that I know. Yes, both blues and jazz originated here. That's obvious. But yes it also exists in Africa (and throughout the world), even if imported as a style. You were trying to tell us it doesn't exist there, but it does.
The original point IIRC was that the musical elements, the sensibilities of spirit that brought it about, were re-membered (put back together) from the collective experience of Africa. Both Asclepias and I linked articles detailing how that worked. The fact that the exact same development didn't take place in the Caribbean is absolutely meaningless. The Caribbean would have had different circumstances around it, especially the French (e.g. Haiti) or Spanish (e.g. Cuba) colonizers that ran the places. These would develop into forms like Merengue and Rara and Charanga and Danzón and myriad others
again incorporating African approaches, especially to rhythm.
Or take the example of Brazil, a huge importer of West African slaves, where the wistful Portuguese Fado (which is what's going on in my avatar) was merged with the
Semba rhythms of Angola to produce the new form
Samba. Or before that, take the same Portuguese melodious structure and introduce the uniquely African sense of
syncopation discussed earlier, and you get Chôro --- developed at the same time the same sense of syncopation was developing Ragtime ("ragged time") in this country, and using a markedly similar thematic structure of AA-BB-A-CC-AA:
ALL of these forms depend on vital ingredients from African culture --- without which they could not exist.
That's simple reality.