If I was a pretty girl that gets stared at I think I'd want to record the ones doing the staring
People generally commit less crime if they think they're on camera
If they do commit a crime, at least there would be video evidence
Or if they just want to be creepy, I'd send those stares to their wife
Considering motivated perverts would use hidden cameras, as opposed to cameras literally on their face, I think the asymmetry here is in favor of recording the perverts rather than vice versa