Those charts are legendary. They are extremely interesting. However they are not 100 percent accurate. Persico is one of the dudes who are misplaced on the charts and there are others as well. Natale Evola for example, who is listed as a Lucchese member, should had been placed on the Bonanno chart instead.

Carmine Persico´s father was a member of the Genoveses though. They shared the same name which may have confused the investigators back then.
Valachi did give plenty of names, but not all of the names placed on the charts came from Valachi. The FBN and other law enforcement agencies contributed to the charts as well.