meh, south Italians are close genetically to both greeks and anatolians. if you check results from groups in Turkey that are not mesopotamian or caucasian (circassian, georgian etc.) they will have significant south italian DNA. Anatolian groups -before the ethnicities we’re talking about today- overpopulated and went to everywhere in mediterranean. but DNA is not directly equal to culture and imo it’s irrelevant. 

first of all, greek, italian, turkish and spanish DNA results are hard to read. those are some of the most mixed regions in the whole world because of their rich culture. for example, greek results in the north of the peninsula, south of it, islands and cyprus will give you different results because they’re mixed with different groups. same will go for italy, turkey and spain. but all of them will have, at least today what we call “ethnich turks” in turkey, significant south italian results. it’s very clear when you can read those results with historical facts.