As I've been saying for years to the ******, that's why the Near Eastern proportions look lower in the Balkans in 23andme than they do through ADMIXTURE and formal stats. It only picks up "farmer" type ancestry which is in excess of what is already present in Greeks and the Maltese.
Likewise, Middle East is, or used to be heavily weighted toward the Caucasus, Iran, Turkey, etc. Palestinians and Saudis are in with North Africans. Perhaps Jordanians as well, which is what people usually think of when they think of Middle Eastern or Levantine populations.
When people are pushing an agenda, however, they have no intention of letting facts get in the way.