The 2-3x figure is about "homicide" not "nonfatal violence" which this thread has been about. And for non-fatal violence, at least in the US, the numbers put the rates of female victimization higher (although quite close) than male victimization [1]. It does seem to be true that in general, women report more fear than their raw victimization rates would predict, but this is more understandable once you recognize that the specific forms of violence experienced by men and women are usually different: for women it’s far more often a partner, someone they know, or sexual violence [2].

[1] https://bjs.ojp.gov/document/cv23.pdf

[2] https://webarchive.library.unt.edu/eot2008/20080923133123/ht...