I trust that you are being "tongue-in- cheek" about throat singing sounding synthetic. 'Tis the exact opposite.
Many, many years ago, I saw the then famous Indian Sitar master Ravi Shankar at Carnagie Hall. Their was a "back-up" musician who did percusion and vocals. Befor doing a purely vocal piece he made the statement that "all instruments can be duplicated by the Human voice." He then proved it. I think that he had it backwards, though.
Funny how fickle the public is. One year the House was sold out. When Shankar came back the very next hear, the Hall was almost empty.
Bill '