Yes. Pretty much. "our thing" maybe.
To add to OP, mafia or cosa nostra is just Sicilian, ndrangheta is Calabrian, camorra is from Naples/Campania.
Usually the word mafia is used worldwide to refer to organized crime in general, but mafia there is just one.
If you ask a person from Naples if there is mafia there, they'd say: we have no mafia, we have camorra.