Ynet was allowed to interview a Burqa cult member. Well almost. They were allowed to write the questions on a piece of paper, then leave the room, and have her husband read her the questions.
I was most amused by the rabbi interviewed at the end of the video. His explanation was that the burqa was a time saver - the woman could wear whatever she wanted, put on her makeup, and not have to worry about modesty - she can just cover up! Then when she goes back home, she just takes off her burqa and...she's all ready again!
Note -if the video doesn't work try watching it here.