Why is the term Hamito-Semitic considered obsolete?

The term "Hamito-Semitic" is largely considered obsolete because it is linguistically inaccurate. Scholars reject the designation because there is no distinct linguistic entity known as "Hamitic" that can be contrasted as a whole against the "Semitic" branch.1

While the term is occasionally still used, the name Afro-Asiatic languages gained wide acceptance following the classification work of linguist Joseph H. Greenberg in the mid-20th century. Other proposed names, such as "Afrasian," "Erythraean," and "Lisramic," have also been used, though "Afro-Asiatic" remains the standard terminology for the phylum, which comprises six major divisions: Amazigh, Chadic, Cushitic, Egyptian, Omotic, and Semitic.12