We have an Earth-like planet except the tropics around the entire planet are covered with small island chains and archipelagos. No landmasses larger than Cuba appear between 35$^\circ$ N and 35$^\circ$ S. Otherwise, island density on this planet matches the size and spacing of the islands in the Caribbean.
On Earth, we observe that hurricanes can pass over large islands like Puerto Rico and Cuba while maintaining strength. On a planet with no large continents near the equator to change the trajectory of the hurricanes, would the paths of the hurricanes stay in the tropics? If they do stay in the tropics, is there anything to stop them from traveling around the entire planet, picking up energy sufficient to strip vegetation from islands?