I mean, the stigma has probably been around for tens of thousands of years in the form of masculinity. Bravery and courage probably evolved because men had to do all of the risky hunting and defense and so societies which rewarded make sacrifice and success flourished and the others largely died out.
Agreed, but that doesn't necessarily have as much of a place in modern society or at least there are limits to how many jobs/lifestyles reward those traits. In the same way that women can be frustrated by an unattainable feminine ideal portrayed by media, men face the same dilemma at the opposite end of the spectrum.