On the grounds of "human interaction" etc, including "lip reading"(!!!), a big old bah humbug from me. As someone with fairly significant hearing difficulties that does rely on lipreading, I would still NOT expect another woman to be made uncomfortable for MY ease.
Also, going into banks, still not a reason. These women are NOT committing bank robbery on any scale that needs discussion. Or even any consideration. Hell, they are probably not even permitted to go to banks by their male owners.
There are a lot of bullshit reasons on this thread, most of them anti-woman tbh.
There is no call to restrict (Islamic/men's) clothing in the same way. This all falls back onto women, again. Women, Islamic women, are bearing the brunt of many covert/overt anti-Islamic sentiments (not necessarily this thread, but burqa bans are a sign of that more broadly).
A better way to approach the entire thing is to (financially) support women's centres. There is a Muslim women's drop-in centre on Whitechapel Road E1 - get these women out of the house and gathering with other women. But don't make a law that restricts women and potentially imprisons women in the home (where, even for Western women, is the most dangerous place for women).
I have a zero-victim mentality. Even if this restricts/imprisons a few hundred women rather than a thousand - that number is still far too many to throw under the bus.
There are other ways to help this community of women, but I don't believe such a ban is it.