It wasn't about "men she'd dated." It was about the men she'd slept with in that 3-day period, including evidence that she'd slept with a man right after the alleged "rape."
You're missing the point. The media uninhibitedly blabbed the accuser's name to intimidate her from pressing forward with taking the case to trial. That's why the media has "shield laws" for rape victims, all except this one.