Hi OP. I've been meaning to respond for a few days.
I've been wearing a headcovering to church for about 40 years. When I started we were in a charismatic church that had several people who went to WTS in related churches, but I wasn't around confessional churches back then. By the time we ended up in the PCA I think I was the only one wearing it to services, although with two morning services I don't know for sure. At the time people wanted the bible and sound doctrine and we were not associated with any of the modern charismania word of faith teachings. (It was sort of like what the Sovereign Grace Churches tried to be later on, without their legalistic rigidity, and without so called apostles.)
Anyway, back then in the exciting days of the Jesus movement and revival, a lot of women believed in head coverings. People also wanted to talk about it and often approached my husband or me with the subject. I would say at least three dozen people, including men and pastors believed in them. But the general sorts of responses we got were " I believe in them for today but........
-my wife won't wear one
- my pastor is against it
-my elders don't believe in them
-I don't want to be divisive
-people think it is legalistic
-It is legalistic even if the bible says it"
On number of occasions I pressed it a little bit. I'd say "are you telling me you believe this is a new testament command?" " Yes"
"But you won't wear it (or preach it) for reason XXXXXX?
"Yes"
To this day I don't understand how people can do this mental gyration. It is one thing if you think that command no longer applies today. It is another when you think it does, but won't do it. This is the NEW Testament!!!
It was hilarious-a pastor in another church didn't know we believed in them and was troubled because women in his church started wearing them. He respected my husband's scholarship and asked him to write up a paper on it for him, and why it isn't applicable today.
Hub wrote one up with all the main points. His first page said something to the effect of: dedicated to Balaam, who was asked to speak against something, but when he consulted God, he found out God was for it.
My opinion is that people in general were casting off authority, any authority. The Viet Nam protests for example ( not that they were wrong, but it was a rejection of former patriotic support for government). Historic authority of morality and that sex is for marriage. Parental authority. Traditional authoritative teaching that you can't kill unborn babies. The covering is a specific sign of a husband's authority, and people were throwing off outside authority other than their own choices, in every kind of sphere. It wasn't just feminism although that was one major manifestation of rebellion.
As far as the discussion about culture, it is a sign to the angels. Period. Not the culture. If the angels have changed, well, questionable position in my opinion. I am aware of ( good) angels sometimes at church when I wear it. Yeah, subjective, yeah, some Reformed would stomp on my saying that. But I am.
Verse 2 and 23 use the same Greek word for coverings and communion. Both were handed down or delivered over or tradition. Depends on translation. We know communion came from Jesus, so who was/were coverings handed down from? It doesn't say, but the fact is, in any basic literature class, looking at this you would say the author is using the same word and command for both. One didn't cease while the other became a sacrament.
You get a lot of the long hair thing, or at least I used to back when there was more interest. Paul clearly uses a different Greek word for the hair given as a covering, than the word he repeatedly uses for covering as a sign of the husband's authority.
This is my opinion, but we think the passage is clear that this is for wives, but you can't push it on every single woman or little girls. Maybe some churches have rejected it because it was forced beyond the bible? I don't know; I suppose that is possible. A husband has authority over a wife, but church authority is for everybody, as is civil government. A head covering is unique to marriage and wives. Wives submit to husbands, but not to all men.
RC Sproul believed in them. Other men used to, and preach it as well, but nowadays it seems to have fallen off the wayside.
Anyway, I hope it comes back more broadly. I think it would bring blessing to the church and to marriages and to wives.