Sardinia was a Phoenician colony for a long time and Sardinians do have a lot of the typical Levantine y-dna groups (some in small percentages), but they don't have any South-West Asian or North African component. This means even the Phoenicians did not have much South-West Asian or North-African and were mostly Neolithic Near Easterns.
So the Neolithic Near Eastern y-dna now becomes: E-M78 + E-M123 , G2a, J2, J1, and some R1b. I2 would be their paleolithic HG component.
Another conclusion is that there was no Caucaso-Perso-Gedrosian in the Levant in the time of the Phoenicians. And Caucaso-Perso-Gedrosian is probably associated with R1a, which Sardinians don't have.