Carlo Gambino run 4 out of five families with no jail time after become boss.
He only ran his own family he had allies as bosses of the Colombos (Colombo,Persico) and Luccheses (Lucchesse,Corralo). While he wasn't allies with the Bonnano's after Galante took over and supposedly from the early 60's when Bonnano was in charge. I've never heard of his relationship with Benny Squint i'm guessing he didn't know he was boss while he was Tieri's ally. I think it's highly exaggerated how powerful Carlo actually was he certainly didn't run any family other than his own.
