According to the Mishpacha article, burka wearers say that even if the burka draws attention, it’s not really to them. After all, they’re fully covered head to toe.
Personally I think clothes should not be big enough to transport rare animals under. We’re still representatives of Hashem. I don’t think we’re supposed to be so Tznius that we can be mixed up with the muslims.
However, if they truly believe this is what the Torah tells them to do, then I have no complaints. Just another branch of Jews who believe they’re right. Nothing new in history there. Unless anyone on here is a Burka wearer, leave them alone.
Me? I walk out wearing camouflage so no-one will see me.
On my serious days though, I try to balance Tznius with Good Appearances. I don’t want a shlump to represent Hashem, but I don’t want to become so concerned with my appearances that I waste my time on it either.