I think one connection Henry Hill might find is the money that the Vario crew made kept them out of trouble with both the Lucchese bosses and other family administrations at times when they crossed the line, even the non made guys like Henry. Tony Soprano got away with a ton of mob violations too, because he made so much money for the Lupertazzis.
Of course, David Chase also said several times that he admittedly draws from Goodfellas for ideas. Hard to dislike a tv show that's somewhat inspired by your story.