I now lean toward believing that in fact Carbo WAS a Genovese soldier. But however it happened was misidentified years back as a Lucchese and it stuck. Because if you look at the trajectory of his life, nearly all his associates were Genovese guys.

It could go either way. The fact that he ws allegedly assigned the "Siegel" hit in Vegas points to him being a Luciano/Genovese guy.