Hypotasso is placing (of your own volition) yourself under someone else. Yes, women should do this with their husband. But the husband is not absolved from doing this with his wife. After all, there are verses to support hypotasso of men to their wives - one is the way they love their wife like Jesus loves the church by placing her ahead of himself (Eph. 5).
More importantly, our primary relationship with our spouse is brother and sister in Christ. So every principle in the Bible about how we should treat others, we need to start with our spouse. My favourite is in Philippians 2 (NASB, from Bible Gateway):
Therefore if there is any encouragement in Christ, if there is any consolation of love, if there is any fellowship of the Spirit, if any [
a]affection and compassion, 2 make my joy complete [
b]by being of the same mind, maintaining the same love, united in spirit, intent on one purpose. 3 Do nothing [
c]from [
d]selfishness or empty conceit, but with humility of mind regard one another as more important than yourselves; 4 do not
merely look out for your own personal interests, but also for the interests of others. 5 Have this attitude [
e]in yourselves which was also in Christ Jesus, 6 who, although He existed in the form of God, did not regard equality with God a thing to be [
f]grasped, 7 but [
g]emptied Himself, taking the form of a bond-servant,
and being made in the likeness of men. 8 Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death [
h]on a cross. 9 For this reason also, God highly exalted Him, and bestowed on Him the name which is above every name, 10 so that at the name of Jesus every knee will bow, of those who are in heaven and on earth and under the earth, 11 and that every tongue will confess that Jesus Christ is Lord, to the glory of God the Father.
Verse 3 says to place others above yourselves. That applies in marriage as well as with our children, parents, friends, community. For men, it starts with your wife. For women, it starts with your husband. This is mutual submission. And submission is always, always, always voluntary. It is up to me to submit to my husband; it is not up to him to tell me that I need to submit - nor should it be his expectation. Our responsibility is hypotasso for ourselves, not making sure others hypotasso us, since that would mean we are not placing others over us; rather, we expect them to place us over them. Wrong. That is not God's intent.
Current research that supports this godly mutual submission is Dr. John Gottman's research, where he found that shared power between husband and wife is one of the principles that keeps marriages together and happy.