Yes, Chin actually had more power than Gotti--Genovese were bigger than Gambinos at that time. But, Chin wasn't as big a public figure as Gotti because his non compos mentis act was designed to keep him out of the public light by portraying himself as a doddering mental case. He wasn't a provocation to law enforcement the way Gotti was. Fat Tony was the public face of the Genovese Family, and he went down in the Commission case. Chin was never off of law enforcement's radar. But, they didn't pursue him as avidly as they did Gotti, who provoked them with his public swagger, strutting, and bragging that he'd never be convicted.