One concern may remain from the argument that Paul’s apparently broadly restrictive comments in 1 Timothy and 1 Corinthians actually have a narrower, local focus—that women representing a false teaching are not to argue with or authoritatively “correct” someone who is presenting the true teaching. While this may be the original context, Paul still says that women, as women, aren’t to relate to men, as men, in a particular way. So aren’t his restrictive comments universally applicable? If he had really only wanted to stop the spread of a false teaching, wouldn’t he just have said that no one (meaning either man or woman) was to advocate this specific false teaching?
An analogy from history may be helpful here. During the First World War, the “Order of the White Feather” was founded with the aim of shaming men into enlisting for military service by getting women to present them with a white feather, symbolic of cowardice, if they were not wearing a uniform. While the concern was local (context-specific in time and place), this was still an exercise in encouraging women, as women, to relate to men, as men, in a particular way. The women considered themselves to be acting on behalf of their sex in appealing to the bravery and chivalry of men to protect them and their country.
It was not long before the “Order of the White Feather” became controversial and unpopular. Government officials who were actively promoting the war effort, civilians in military employ, and even soldiers who were out of uniform because they were home on leave were publicly accused of cowardice by being handed white feathers. Men who were not suited for military service may well have been shamed into enlisting and ultimately killed in situations where others might have survived. Vital industries were deprived of needed workers.
So we can easily imagine a factory owner, for example, issuing an order applicable on the factory premises such as, “I do not permit a woman to give a man a white feather.” Even though a local situation is in view, the order needs to be stated in such general terms because it concerns something that women are doing, as women, in relation to men, as men.
I believe the same thing was going on in first-century Ephesus. If the belief was that women were the physical origin and source of spiritual enlightenment for men, it makes sense that they were being encouraged, as women, to re-enact the role of Zoe/Eve in bringing spiritual enlightenment to men, as men, by correcting their supposedly mistaken view of the creation order. This explains why Paul would speak to a local situation in such general terms.