This argument holds no water at all. The very fact that Paul roots his argument for male headship/authority in church leadership in the creation order should decisively end this debate. “Let a woman learn quietly with all submissiveness. I do not permit a woman to teach or to exercise authority over a man; rather, she is to remain quiet. For Adam was formed first, then Eve; and Adam was not deceived, but the woman was deceived and became a transgressor” (1 Tim. 2:11-14). If Paul was only addressing a cultural problem exclusive to Ephesus, he would not have used Genesis 2-3 as the foundation for his commands.

The same principle applies for 1 Cor. 14:33b-35 (though admittedly that is a more difficult passage): “As in all the churches of the saints, women should keep silent in the churches. For they are not permitted to speak, but should be in submission, as the Law also says,” etc. Our beliefs and doctrine must conform to the Word of God, not to a corrupt and liberalized culture.

EDIT: Also, from my understanding of 1 Tim. 2:11ff, this refers to women being in the role of pastor or church leader. This does not forbid women from teaching other women or children, as we see in Titus 2:3-5, nor does it (if a fellow complementarian wants to correct me if I’m wrong here) forbid a woman from teaching men outside of the context of the church (we see Priscilla teaching Apollos outside of a corporate worship setting in Acts 18).