I hesitate to give more space to this, because we largely agree. However, I don't concur, going by the Admixture run, that Palestinians are the closest population. They have way too much Iran Chl. for that. Imo, the closest are either Saudis without SSA or Bedouin B. I have no idea if Bedouin B is more isolated or Bedouin A is more isolated. It looks to me as if perhaps Bedouin B is just those Bedouin without all that additional SSA.
For more definitive answers I think we'll have to wait for what other tools show. That may change my opinion.
As for the discussion between Harena and LeBroc, a lot of the problem with the hobbyist community is that they use pop. genetics terms way too loosely, confusing not only themselves but others. Anatolia Neolithic is about 10%? WHG. If you go around saying that Natufians were 50% WHG it's wrong and confusing to other people.
Plus, the point is that these populations were distinct from one another, just as Anatolia Neolithic was distinct from Iranian Neolithic no matter that they shared some "components" from thousands of years before the Neolithic.