So are you trying to say that these women wear the Burqa or Niqaab by their own free will? No one is pressurizing them saying that they are disobeying the laws of Allah and will burn in eternal hellfire or something similar if they don't wear the Burqa or the Niqaab? Their parents, husbands, other family members, local imams etc are NOT asking them to wear the Burqa or Niqaab while going out?
I will give you a simple example of the coersion. I have seen hundreds of women who live in chandni chowck area of New Delhi. It is a Muslim dominated locality. The women come out of their homes wearing the burqa As soon as they reach the Chandni Chowk metro station they go to the washroom and lo and behold out comes a girl wearing a jeans and t-shirt. They then board the metro to South Delhi where they visit the trendiest malls and marketplaces. When they come back to Chandni Chowk they do the same process in reverse and they go home in Burqa. So is it really a "Free Will" to wear a Burqa?
One of the main reason for this is security. You need to know who is there. It is very easy to hide under the Burqa.
This is a news just a few days ago from Bangalore
https://www.deccanherald.com/city/man-burqa-carrying-knife-arrested-672389.html
This proves Burqa is also a security threat.