I'm secure enough with my masculinity that I don't mind carrying something that looks like a purse if it were useful.

But I'd never want to carry my headphones in my hand. When not in use, when I'm out (say I'm about to check-out at the grocery store and don't want to be rude), they hang on my neck. I'm not going to want to carry around an empty carrying case at the same time that I'm using my device so that I can neatly put it away when NOT in use. Maybe overnight, if there's some benefit?

I suppose if they were in a suitcase, it could prevent damage? But airports are one of the main places I love over-the-ear headphones, so they wouldn't be in my bag. Also, if in a bag, you wouldn't want the carrying strap because it just adds bulk.

That looks woefully inadequate to protect an expensive set of headphones.

Yep, no way I am stowing away headphones into a suitcase or work bag using this piece of fabric as a "case".

Can’t unsee :(