This is an interesting discussion because I've had the opportunity insider knowledge of Jewish tradition, even though I am not. Specifically Orthodox Jewish women, and we are talking about those who are complicit and agree with it, rather then those that are not.
It surprised me a bit. Having research the differences with women in Islam, it would hard for me to say the Islamic traditions are the more problematic. I think there are some issues, but to my surprise it was the Jewish traditions that were the most intrusive, most invasive, and controlling, and it is explicitly institutionalized.
I mean confession was always controversial even among some Catholics, but what is expected of married Jewish Women or indeed, married Jewish couples is fairly extreme IMO.
It is kind of the opposite of Islam in a way. Islam take the idea of family purity an make it a personal responsibility, where as in Judaism has to be officiated by Rabbis. There are so many rules even the initiated are confused by it.
If anything Islam would specifically forbid or at least some of the disclosures that are require in Judaism, especially with other men. It is extreme in the opposite way. Neither are healthy.
So therefore it is would hypocritical to say one is worse just because of appearance. It isn't appearance. Some were comfortable with it, some weren't. If they are happy to do it who am I to criticize, so long as the don't force others to.
There is often talk of the veil and coercion. That does happen but the is not the whole story. There are are some women who specifically choose to wear the veil, as hard as the is to understand. In the face of the it is not really that extreme given all the strange things the people wear.
You could say that it cause psychological problems, and it is oppressive, but it could actually do the opposite in some cases, such as give them confidence, reduce the social pressure. After all we are neuro-diverse, so who is to say?
Don't get me wrong I don't think these religions are good moral guide, but the point is everyone has some cognitive dissonance., and these types of belief are part of the human mindset to a lesser or greater extent (like it or not).
It is not that there aren't women issues, it is jut beyond just an article of clothing.