My pet-theory why primates do not vocalize is that the neural difference is not even that cemented, it has to be some difference at the language acquiring stage as babys and children, were one human pattern matching center for sound fires constantly, acquiring the language "keys" and theirs dont.
And it all cascades from there.
https://en.wikipedia.org/wiki/Language_deprivation
It would be really fascinating, to help them acquiring language and uplift them. Maybe its even mammal universal applyable.