It has nothing to do with "cultural heritage". In those areas where it is widespread, it is because it is mandated by Islamist governments.

It is only the extremist, islamist, salafist interpretation of Islam that requires women to hide their face, not mainstream Islam.

Unlike the hijab, which does not prevent communication, the whole intent of the face covering is precisely that, to prevent mingling with society other than your own relatives, because a woman's only role is in the home and she does not belong in public space.