No, unfortunately. There are a lot of negative and outdated old world concepts about women still floating around the Eastern churches. According to a comment by a Byzantine theologian,  when it comes to human right issues, the Eastern churches have a dismal record, unfortunately. The Eastern churches will have to change because the young people are demanding it. Consequently, attitudes about women are changing at the parish level, but not for the bishops or hierarchs. It's made even more difficult as converts from strict evangelical churches have entered the church to adhere to what they think is "right order", making progress more difficult.