Accept or believe what?

You seem to overlook my questions at times and give me a lecture of sorts. I know the meaning for all 3 Taino words, they're freely available online and Dominicans usually know them. But if you want to get technical the modern nation of Haiti is much more mountainous (thus less fertile) than DR so it could be labeled Haiti itself. DR is set on extremely fertile land so it could be call Quisqueya. No one's really arguing in favor for using Hispaniola, though I use it when referring to the entire island.

Again, you glossed over my post. I was not saying Haiti was illegitimate compared to "imperialist" nation names I was saying isn't calling 1/3 of the Hispaniola island Haiti as illegitimate as calling the other 2/3 of Hispaniola "Quisqueya" as you were protesting?:

Do Haitians also refer to themselves as "Kiskeyanos" (don't know if that's how it would be called)?

Well I dont really know but if you Ask someone and ask him what the name of Haiti is he will say

Haiti Quiskeya Bohio

or Haiti thomas ( never know where the Thomas came from ? )

Gizmo, Gizmo, Gizmo, thank you for making my point sticks. Yes, let's talk about the "Dominican" word:
ORIGIN: This word was form from two Latin words around the year 1310 by Father Domingo de Guzman. The two words were: Dominus (meaning man of God) and Can (dog), as an inspiration that he had since childhood, remembering that his mother used to tell him that in her pregnancy, she always dreamed with a little dog. That combination of words became "Dominican” that Father Domingo de Guzman used to name the missionaries and nuns of the religious and Catholic order that he founded, now known as the Order of Santo Domingo.
CONTROVERSY:
At the beginning of the XVII Century, the king of Spain wanted to clear the confusion about the name of the island that some called Haiti, others Quisqueya and that Christopher Columbus had baptized as La Espanola, which Latin translation of Hispanola was also in used. This last name for the island was the key for the king to choose another name for it, because the kingdom didn't entertain the idea that there were Spaniards being born in an island far away from the Homeland in Europe.
THE FIRST LEGAL NAME OF THE ISLAND
The kingdom of Spain named the island Santo Domingo to honor Domingo de Guzman who became canonized Saint and his religious order had helped Spain with missionaries sent to the newly discovered continent. The name of the island was legally name Santo Domingo and with a Royal Cedula (ID), name the people from that island "Dominicans", same as the religious order called its missionaries. Remember that only the owners (regardless of how the property is acquired) have the right to name his/her/their property.
DOMINICA
Columbus had baptized another island as "Dominica" (after who or what is a controversy) that the kingdom of Spain accepted. Although the Constitution of that island calls its natives "The People of Dominica", the rest of the world refer to them as "Dominicans", and, if the form of government for this island were republican style, it could have been called "Dominican Republic". It is a possibility.
DOMINICANS IN THE ISLAND OF SANTO DOMINGO
At the beginning, in the year 1621, Dominicans were only those Spaniards and Spaniard descendants that received a Royal Cedula (Royal Identification) as such. Later, Dominicans were all people living in the island of Santo Domingo that were not slave. Before 1804 all inhabitants were Dominicans. I will stop here to continue later if needed beyond 1804.