Is banning the so called Burkini a good idea?

It doesn’t cover the face, which is the key part of a Burqa. Why isn’t anyone correcting the term anyway?
http://news.nationalpost.com/full-comment/ashley-csanady-back-off-the-burkini-the-state-has-no-place-in-the-wardrobes-of-a-nation
“If a woman is being forced to cover up by an oppressive family, and the state bars her from wearing something that allows her to participate in public life, it only compounds her oppression.”

http://qz.com/760337/it-is-the-beach-version-of-the-burqa-more-french-towns-have-banned-the-burkini-on-beaches/
“The mayor of the French Riviera resort of Cannes—not far from the site of the recent truck attack in Nice that killed more than 50—went as far as to ban women from wearing burkinis on the beach, calling it a “symbol of Islamic extremism.”