It boils down to two things they've always had: stable leadership and less greed amongst its members. The real question is how did they succeed at this while the other families failed?
Vito Genovese was like Gotti because don vito ordered to kill costello;he wanted Apalachin meeting that generated more attention on the mafia; ordered to whack more Ruling Panel people ecc.
At the end the genovese leadership understand how made for don't have another Vito Genovese.
