I wear stuff where you can't tell, such as non-see-through shirts, because bras are dreadfully uncomfortable things, they really are. Even 'comfy' ones feel like a harness. Contrary to popular belief, inspired by bra manufacturers, you don't droop if you don;' wear one: mine still stare straight ahead, so to speak, and I'm not young.
Once, after having had a debilitating operation, I bought some new clothes and went to work in a lovely new dress to show off the new slim me. It was low cut and I wore a bra - a black lace underwired piece of torture equipment. The girls thought it was great that I'd finally joined the club, so to speak.
Never again, I felt horrible all day.
My workplace was next door to the ABC offices (Aussie BBC) where there has been a breast cancer cluster - many of the women, 6 times the national average and climbing, have got breast cancer. A workmate of mine, a close friend, had it too. There is a school of thought that restrictive clothes such as tight or strong bras can contribute to causing cancer, and women who have to be fashionable, such as ABC staff, wear such stuff.
Anyway, there you go - my weirdness might just have saved my life.
I actually don't mind wearing bra's. Mind you all of my underwear is covered in cartoon characters and is made from cotton. Lace is extremely itchy and I avoid it like the plague...unless its an actual plague and then I might go look-might be interesting.