There are millions if not billions or googlezillions of genetic mutations and crosses with peppers but there are not millions of user friendly names.
So the real issue is how many genetic markers do you want to consider, that have to be the same as some other pepper we arbitrarily call a certain name? The point is, pepper names like "Caribbean Red" are far too oversimplified to really mean anything, just a starting point.
Is a Caribbean Red a habanero? I'm going to guess it has more in common with some types of habaneros, than that type of habanero has in common with other types of habaneros. Frankly I don't think any pepper is really a habanero as the name covers too many different plants and fruit even when it is a name applied correctly by the consensus of people experienced in hot peppers.