To be fair:
The diversity of coral cover in the Caribbean is considerable less than in Indonesia, or Fiji, like a factor of ten or more in terms of species. It has nothing basically to do with health of the reef or bleaching, but rather with geography and distance from the "motherlode" in the coral triangle. Think of it like a farmer standing in a field spreading sees by throwing them as far as possible, in all directions. The result will be less growing farther away...lot near the farmer.
On top of that are the degrading influences of man, both hands-on and indirectly through climate change. If you have lots to start with, then some degradation is less noticeable than if you have a lot less to start with.