In days of old, everyone wore hats. The side effect is eye/retina/skin protection.
Eye protection is especially urgent in teens. Sunglasses need to be combined with hat brim.
I cannot imagine the discomfort and heat from wearing a wig and a hat. Also, anyone that discounts worth, due to hair density, is on the mental plain of the any racial, skin color biggot. Which is an opinion I hardly value. I could care less if such a person were a hot female, with another short life of fleeting attractiveness on the outside. Androgenic hairloss has zero to do with health, outside of prostate health, that is.
While it may be great to keep hair, there is a line where other things are so much more important : family, helping others, study, eating right/exercise, establishing resources, legacy. Living to 100 or above, age will eventually show. It must ultimately be about the body's health - not makeup, not fake hair, not clothing. Which, I think, is really at the core of what makes a female attractive. . . Unhealthy, overly dressed or made-up females, are simply repulsive. It is health, baby.... Men are mostly judged by height, signs of money, and grooming...
Also, at some point as you age, the face will age to the point where the wig looks ridiculous. So, beware.
Another note: people that switch between glasses and contacts are not remembered as one way or the other. While people that always wear glasses imprint on the mind an image where the glasses are actually thought of as part of the person's appearance - which is ridiculous. Clothing has zero to do with what a person looks like. Take a hot female in a man's shirt for example. We guys know it is temporary. However, the eye glass phenomenon could have application to hats and hairloss, and other people's mental images. Now, were it socially acceptable to wear your wig occasionally, change wigs, rotate them, go bald... Now, that would mess with their pigeon holed image of you, in their tiny experienced brain. I wonder if a bald male teacher could pull off random wig wearing off-going beyond the funny, into the socially acceptable - - just like rotation of glasses to contacts.