Why does it matter if it's religious or just cultural?
yes there are legitimate security reasons, but lets be honest those aren't the motivation behind this
I was talking about security reasons just as a "by the way", since it only applies in particular moments (driving, or in strike as an example). I wasn't saying it's one of the reasons against burqa generally speaking.
To answer your comment : in my republican (normal, state, free) school, anybody wearing even just a necklace showing the christian cross was asked to hide it or remove it or it would lead to a sanction.
Republic is laic, if you are "french" (in this case) you follow the rules of the french republic. As simple as that.
It's a BIG matter, it means "keep religion for when you're at home, just for yourself". It separates it from everything else in a country.
You can do many things, you can dress in pink or in furry or wear a black metal corpsepaint or everything, but not a religious ostentatory sign (this theorically includes reversed cross or pentagram some kids like to wear).
The first day it was applied, there were a strike of a few religious women in Paris, they said to the interviewer "we wanna honor our religion everywhere, it's our way to live". They have just not understood the principle of laicity and they clearly said it was their "religious" way of living and they wanted to keep it.
I don't see what is wrong with that.