My point was that Ozzie and Harriet were their real names although the characters were fictional. Their sons used their real names on the show as well. Not trying to play “gotcha,” just clarifying. In contrast, with Lucy and Ricky, Desi didn’t use his real name.
As in Desiderio Alberto Arnaz y de Acha III. Which means, incidentally, that "Desi Arnaz Jr.", who is just a year older than I, is actually DA IV. He only had daughters, and so there will be no DA V.