The Gambinos was powerful with Don Carlo due he was the commission Chairman but Genovese are the "Ivy League" because 1)their influenze on the other family for example Nardi and Greene went to NY to ask Salerno help,Caponigro thinked that the genovese give the ok to kill Bruno ecc;
2)they had no John Gotti;
3) they prefered to had a Ruling Panels so who is out of the family don understand who give orders;
4) apart a capo in Massachusetts the high ranking members always respected the omertà .
lol. Addition by subtraction. I think Victoria and his grandkids being on television so much gave us a glimpse of what John might have been like as a mobster. Apple doesn't fall far from the tree.