What do Young-Earth Creationists think about the Proto-Afro-Asiatic language? Did it really exist? And, if so, when?

Young-Earth Creationists, as far as I understand it, believe that Proto-Indo-European was one of the languages spoken immediately after the Tower of Babel, that is, around 2200 BC. Obviously, you need to reject glottochronology for that, as glottochronology dates Proto-Celtic to 3200 BC, and Proto-Indo-European is therefore dated way earlier, but not every linguist accepts glottochronology (which is based on the assumption that words on the Swadesh List are replaced at a constant rate). However, as far as I understand it, all historical linguists agree that Proto-Afro-Asiatic was spoken way earlier than Proto-Indo-European. According to mainstream linguistics, Proto-Afro-Asiatic was spoken somewhere between 16'000 BC and 10'000 BC. The earliest attested Afro-Asiatic languages (Egyptian and Akkadian) were attested very early and they were not closely related. One of the earliest Egyptian writings is the Narmer Palette, dated, by the mainstream history, to around 3'100 BC. And the earliest Akkadian inscriptions are dated to 2'400 BC. And they were not closely related languages. Proto-Afro-Asiatic had to be spoken thousands of years before that. Now, Young-Earth Creationists dispute such early datings of the inscriptions. Young-Earth Creationists believe that the Narmer Palette dates to around 2'000 BC. I don't know what they think about the earliest Akkadian inscriptions. But, either way, since Akkadian and Egyptian were obviously not closely related languages, Proto-Afro-Asiatic had to be spoken thousands of years before those earliest inscriptions. So, do the Young-Earth-Creationists believe that Proto-Afro-Asiatic language existed? And if so, when?