Biblical headship isn't popular with worldy minded people.
KJV 1 Corinthians 11:1 Be ye followers of me, even as I also am of Christ. 2 Now I praise you, brethren, that ye remember me in all things, and keep the ordinances, as I delivered them to you. 3 But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God.
The man being the head of the woman is no more a cultural thing than Christ being the head of man or God being the head of Christ is. It's ongoing and applicable to every church in every generation.
4 Every man praying or prophesying, having his head covered, dishonoureth his head.
Men, remove your hat.
5 But every woman that prayeth or prophesieth with her head uncovered dishonoureth her head: for that is even all one as if she were shaven. 6 For if the woman be not covered, let her also be shorn: but if it be a shame for a woman to be shorn or shaven, let her be covered.
Women, put your hat on or shave your head.
7 For a man indeed ought not to cover his head, forasmuch as he is the image and glory of God: but the woman is the glory of the man.
The woman is the glory of the man in all generations and all cultures.
8 For the man is not of the woman; but the woman of the man. 9 Neither was the man created for the woman; but the woman for the man.
Women, recognize your role. You were created for the man. He wasn't created for you.
10 For this cause ought the woman to have power on her head because of the angels.
Because of culture? No, because of the angels. Angels aren't a cultural thing.
11 Nevertheless neither is the man without the woman, neither the woman without the man, in the Lord. 12 For as the woman is of the man, even so is the man also by the woman; but all things of God. 13 Judge in yourselves: is it comely that a woman pray unto God uncovered?
Is it comely to visibly show disrespect for God being the head of Christ, for Christ being the head of every man, or for the man being the head of the woman? Of course it's not comely.
14 Doth not even nature itself teach you, that, if a man have long hair, it is a shame unto him?
Men, get a haircut.
15 But if a woman have long hair, it is a glory to her: for her hair is given her for a covering.
Women, grow your hair long. There's your God-given glory.
16 But if any man seem to be contentious, we have no such custom, neither the churches of God.
The apostles' and the churches' customs were not contentious against God's revealed order of headship, and we have no excuse for being contentious against it either.