1. The trade winds are a simple consequence of Earth's Rotation coupled with Hadley cell equator to pole heat transfer. Its unlikely that basic system of atmospheric circulation is ever really disrupted.
2. As long as the Earth is not in a Major Ice Age - the African leewave system coming off the Sahara desert will be the major spawning zone for cyclogeneiss and eventually hurricane formation in the Atlantic Basin
so, the basic mechanism has been around for a long time
The atmospheric Hadley cells are the most stable part of the circulation system; at the surface they are the trade winds. They extend from ca. 5 to 25 N and S. You can make maps showing the plate tectonic evolution of the Caribbean at www.odsn.de/odsn/services/paleomap/paleomap.html
The paper with the plate tectonic details is Hay & Wold 1996 on my Researchgate site. Cretaceous climate model simulations sometimes produce 'supercanes'. Our first modern ones happened in 2005: see
Look at youtube under "Scotese". You will see videos of the Earth back in time.
Ever since the Atlantic ocean formed, (200 million years ago) it got warm in the equator and trade winds started. The Caribbean islands (all volcanoes) were not there from the beginning, they popped up when plates collided in that area.