The real issue is whether Burka is mandated by the Qur'an or not. If not, then whether it is desirable in countries where wearing one not only makes one a prime suspect (just as someone travelling in a bus was wearing a ski mask), but it instantly defeats the purpose of not drawing undue attention!
Remember Muslim women back then were required to dress in a modest manner so that they would be recognised and not harrassed by goondas lurking in the streets. It would be helpful to keep that in mind. In any case nowhere they were told to walk around dressed up like Ninjas!! That was and is obviously an innovation!!
Seems as a cultural practice has wormed it's way into some peoples notion of Islam disguised as a mandatory requirement.
Sometimes it helps to apply religion with reason otherwise it becomes a Zehmat instead of Rehmat.
Have a great day!