Can a cognitive pattern be related? Absolutely, I'm sure in some circumstances. But not in all circumstances. In the jobs you mentioned I already see a lot falling into the 'savor/hero' complex of wanting to save everyone.It might be considered as a digression from the original 'Bad Boys' but there are certain behavioral patterns that point to a cognitive switch in girls. For instance, girls that chose the military as a career, girls in martial arts, girls as firefighters, girls in the police force, girls as prison guards, girls as mine workers, girls as crane operators etc. That pattern may stop when the girl in case enters into matrimony and has children or if the work environment permits it can continue.
I have not seen any study that explains this preference but I believe it is more commonplace to previous and current Communist countries, and also it was probably quite common during the WWII when men jobs had to be done by women.
Can this cognitive pattern be related to a undeveloped or suppressed rather emotional center or to just an experience path of romanticized and misunderstood man's virtues,status and power?
Some daughters follow the family footsteps into military, firefighters, police, even construction. I think those jobs are more women-heavy now because of equality. Why was it more commonplace to previous and current Communist countries? Perhaps those countries actually had more equality in jobs out of some sort of necessity or it began after a war, as you mentioned WW2 which had that same effect in Western countries too.
I think parental relationships have a huge impact. Early life trauma. Creative interests in pursuing something considered inappropriate for a girl. (I wanted to take drafting and pursue architecture. My mother forced me to take typing so I would "always have a job because architecture is a man's job.) Our family has a huge influence on who we are. This is not something that can be assumed because each soul's journey has been unique. The reasons for their behavior are just as unique, as no two people have the exact same experience.