From the same site:
EXPLANATION OF
THE BOP NAME LIST
THERE IS NO COMPLETE LIST of the veterans of the Bay of Pigs in the public domain. All printed lists have SPELLING ERRORS and are NOT COMPLETE. This list is an attempt at completeness, while at the same time, grouping all other lists with their spelling variations.
The area known as "Bayo de Cochinos" is NOT translated properly into "Bay of Pigs". The correct translation should read, the "Bay of the Cochinos Fish". There is a fish known in Cuba as the "cochino" fish.
This list of the Veterans of the Bay of Pigs Invasion includes members of those who landed on the beach at "Playa Giron", Naval personnel, Air Force personnel, members of Operation-40, members of the "Second Wave" which never left Florida, members of certain "Infiltration Teams", members of "Higinio 'Nino' Diaz Ane's Commando Team", the Cuban Revolutionary Council, CRC, certain Americans who participated in support efforts, and others as noted.
http://cuban-exile.com/doc_026-050/doc0034.html Still one would expect that they would get the US military personnel correct.