This is all true, but at the end of the day it is basically an issue of Fiqh with Hanafis very much following on this line of thought and some other Muslims, including some of the Malikis holding a different view, i.e. that Masjid should ideally have space and facilities for women A lot of women are unable to learn from works like Behishti Zewar etc due to motivational factors and other reasons, because of this there are a lot of Muslim women who are very ignorant of Islam as first their family and then their husband have been good at protecting them from non-mahrams....but not at getting them an Islamic education... as a result they may fail to practice the essentials of the religion because they are ignorant of them or of their importance and they often fall into superstitions and wrong beliefs. During the life of Sheikh Uthman ibn Fodio (ra) he initially caused some controversy in West Africa by encouraging the Muslim women to come and learn Islamic knowledge at his talks and those of his representatives, but before hand many of them did not even know correct Aqeedah or the basic practices of Islam, afterwards many of them became very learned as a result and were able to pass on what they had learned to other Muslim women. As you say however, it is good for there to be a partition.