Dubious.
Certainly, behavior is driven by perception of danger, but whether perception of danger generally tracks with actual danger or not is…less certain.
I know for child abduction and child assaults by those outside of the family that has historically not been the case; and perceived danger has increased as media focus increased despite decreasing actual danger, for several decades in a row.
I don’t see why similar (or opposite, if media focussed shifted away while actual danger increased) trends would occur with other forms of danger.