The Ethio-Somali component is closely related to the Maghrebi non-African genetic component, which diverged from all other Africans roughly 20-23,000 years ago somewhere in NEA, we're not Natufian but are closely related to them similar to how the split between us and nilotes (happened around 20,000 ago).
NA has had countless back migrations over the last 40,000 years, our origins point towards the Red Sea hills and were under the influence of Ancient Egypt material culture, the Beja who are cushites still live in the area practicing pastoralism.
The original Ethio-Somali-carrying populations arrived in the area before the pre-agricultural period from the Sinai, by men carrying E-M78(e-v32 Somalis) and the Red Sea region of the Horn of Africa through haplogroup E-V1515(Souther cushites)
When calculated the genetic distance (FST) between Ethiosemitic-speaking and Cushitic-speaking Ethiopians, and populations of the Levant, North Africa, and the
Arabian Peninsula using two approaches: (1) the whole genome and (2) only the non-African component — in the whole-genome analysis, Ethiopian Semitic and Cushitic populations appear to be closest to the Yemeni; when only the non-African component is used, they are closer to the Egyptians and populations inhabiting the Levant.
[24] However, this is due to the fact that the similarity is because of the Ethiopian contribution to the Yemeni gene pool. Pagani et al. (2012) states: