Lior, I am not a statistician (if I was, I’d be busy right now compiling data for or against the NASI people). So I won’t answer your question with regard to the percent of well known Litvishe yeshivos… But I will tell you that at least one has a wooden lattice mechitza through which the women can clearly see the Torah during Krias HaTorah. Not naming names, though. And of course it’s your prerogative to find out which yeshiva I’m referring to, and put the members in cheirem.
(Does a cheirem declared on the CR actually work?)