Though I'd add to that that the common awareness--an acceptance of speaking publicly about and solidarity in not standing for--sexual assault, is something that has grown dramatically in the past decade for women. In the past many of these things would be covered in shame and swept under the rug but now the issues are more visible and many younger women are taking more active roles in fighting back against abuse. Many young men are working hard to be good allies in this as well.
It's something we can't know but I also wonder how widespread a fear of false allegation truly is. In my experience I've only heard it raised by men who have otherwise displayed misogynistic tendencies and, in the face of other perceived dangers, confidence to the point of arrogance. It's always struck me, ironically, as a false flag fear that is used to stir up distrust in the stories of women and to create a societal backdrop where sexual assault is easier to carry out. Obviously I can't share statistics or research on this point, but it's been my personal experience and it's a feeling I'd like to share with this community.