According to an autosomal DNA study by Hodgson et al. (2014), the Afro-Asiatic languages were likely spread across Africa and the Near East by an ancestral population(s) carrying a newly identified non-African genetic component, which the researchers dub the "Ethio-Somali". This Ethio-Somali component is today most common among Afro-Asiatic-speaking populations in the Horn of Africa. It reaches a frequency peak among ethnic Somalis, representing the majority of their ancestry. The Ethio-Somali component is most closely related to the Maghrebi non-African genetic component, and is believed to have diverged from all other non-African ancestries at least 23,000 years ago. On this basis, the researchers suggest that the original Ethio-Somali carrying population(s) probably arrived in the pre-agricultural period from the Near East, having crossed over into northeastern Africa via the Sinai Peninsula. The population then likely split into two branches, with one group heading westward toward the Maghreb and the other moving south into the Horn.
Is there an answer to this question (If it cannot be answered, say "unanswerable"): According to Hodgson, how long ago did the Ethio-Somalis diverge from other non-African ancestries?
at least 23,000 years ago