Labadee is a private beach owned by RCL. The only Haitians you will encounter are some musicians and laborers working for RCL and the vendors who have permission to sell at the flea market.
The rest of the citizens are on the other side of the mountains or fences. You can not go to any other part of the country.
In fact for all you know you could be in the Bahamas, Dominican Republic or Cuba.
February 1998 - HAL Westerdam E. Caribbean
January 2000 - Carnival Ecstasy - Mexican Riviera
February 2002 - Costa Atlantica - W. Caribbean
February 2004 - Grand Princess - W. Caribbean
March 2007 - RCI Voyager of the Seas - E. Caribbean
May 2007 - RCI Voyager of the Seas - Western Mediterranean (Mrs. E. & daughter only - I had a medical emergency)
October 2007 - RCI Adventure of the Seas - Southern Caribbean