It is implicitly known that the guy who comes in saying he could beat a bear is way up his own ass.
This is good insight into the cultural context that led into this.
I think it varies wildly individual to individual. For example, some of my personal experience/knowledge is that while I can never beat a bear, bears may be discouraged, scared, and shouted down from attacking with proper preparation and training - a luxury that women do not have against men.
Another nuance I saw someone mention is that if I get attacked by a bear, at least I’m fucking dead and I don’t have to live to deal with the psychosocial horror of having to convince a cop, judge or jury, friends or family that I wasn’t “asking for it,” underscoring the damage that a victim-blaming culture has on women.