When I was younger I've been told multiple times by either my parents, or boyfriends to wear a bra. And if I wouldn't wear a bra to the office I used to work at (which has happened a few times), my coworkers, and even bosses stares would make me quite uncomfortable. That's just my personal experience, but I know other women have gone through a similar thing.
As for the men's suits, I don't think that will stick around for a long time either. I know my coworkers hated wearing them and always tried to bend the rules and wear sneakers or take off the tie the minute they left the meeting.