Ok my question is: what is the veil for?
Is it a uniform? A costume?
You said the veil had some medical implication so that's why I asked that question. Nevertheless I will try to answer your question with a synopsis. I dont know if you are a brother or a sister so I will just address you neutrally.
There is a tribe in South America who live completely nude. For the women, their veil literally is when they sit to do some work or maybe make some food they cover their genitalia with their bent foot (the heal). Thats their veil. For them, that's their "normal". In Africa there is a people called the Toureg people. This tribe is strange because the men wear a veil. Men are considered beautiful and they wear a face cover revealing their eyes. Its like a scarf they use to cover their mouth. This is their "normal". Also these people consider their women to have sexual freedom. Strangely they are Muslim. To most Muslims a veil is something they wear on their head as a symbolic display of chaste behaviour called Farj in Arabic. It doesnt even cover their head properly which you would see all over Asia and in other countries like Syria, Lebanon, Tunisia etc etc. To some Muslims it is different where in they take "veil" as a lifestyle for men and women of chaste behaviour and clothing both. Men to have longer dresses be it pants or whatever but long and eyes that are not used to look at a woman twice in appreciation of beauty. Well, that's for some. For nuns in the Catholic Church the veil is a signature of their covenant with the Holy trinity and the Kirk. In Buddhism of the heenayana path the Buddhist monks be it male or female shed their hair. This is called "avarna" which means "veiling", not anavarna or unveiling. For them shaving their hair is veiling. In the United States it was normal, Christian culture to wear the veil in the 20th century.
So you ask if its a uniform or a costume? To some, it maybe, and some others, maybe not.
Cheers.