J.W.
I am adopted, I know my biological mom is Italian, my dad was whoever jumped over the fence. Sorry I used to work at the humane society and when they didn't know the breed of the father they listed it as whoever jumped over the fence.
I digress
I would think the problem is there is no Italian gene and we hold a lot of traits in common with other Mediterranean countries. So who is to say the gene for say Olive skin is Greek or Italian? My grandpa was full Sicilian as was all of my adoptive family on both sides. My grandpa had blue eyes and looked very much German, well except for the pesky fact that he came from Sicily, the town named after his family to be specific.
I guess what I am saying is so many of my family fly in the face of stereotypical genes for Sicilian yet they are. I don't doubt those tests can tell you what genes you have, I just doubt it will indicate anything more than what you can already see by looking in the mirror.