Ehm no... I'm italian and mafia is an italian word. Mafia is the criminal organization of Sicily. The South of Italy was very poor in the 20th century and a lot of italians from Sicily moved in the USA. Unfortunately also some mafiosi moved in the States and they established gangs there. So americans started to use the word "mafia" as a synonymous of criminal organization
I speak Italian and I'm of Italian descent, if you think credentials are important to make a point here... Either way, you're blaming Americans for "appropriating" a word to make Italians look bad when it's not remotely true. Even the word "mafia" is theorized to be derived from Arabic words when Sicily was still an Islamic Emirate and the English language eventually incorporated the word into its vocabulary possibly due to the Italian immigrants back in the days, but in our present days the term doesn't necessarily makes a reference to the "Sicilian Mafia".
In fact, the word has been incorporated by other languages and it no longer refers to the "Sicilian mafia", in Korean the word "Mafia" refers to a game and that's what Itzy's MV is about. And it's simple as that. Words lose their initial meaning throughout time and the term "mafia" is right now a very generic word to refer to any sort of criminal organization, and again, not necessarily the "Sicilian Mafia". As far as I can remember, the "Sicilian Mafia" that you keep referring to don't call themselves "mafia", but rather "Casa Nostra".
It boggles my mind that some Italians are mad that a word is being used by people from other nationalities but refuse to understand the context on how it's being used or just simply refuse to do some research, not to mention Italian is full of words and terms from many other languages.