I personally wasn’t offended by the way you initially phrased it. As much we should acknowledge the way we think is a combination of MANY factors aside from our gender, such as our background, our financial status, occupation, our culture, etc, I do acknowledge that gender does play a role as that largely contributes to who we are and what roles we play (or are expected to play) in our society. You yourself asked, “do you think a gatherer will think the same way as a hunter”
But going back to the original post, men aren’t always the strong, or the captains, or the hunters. In my family and in many families I’ve encountered, women hold significantly important roles in their family setting and workplace. My mom who is a waitress makes a hell of a lot more than my dad who is a factory manager. I, an engineer, makes hell of a lot more than my brother who is a chef. My mom does more of the “protecting” in our family. It’s her personality that is more efficient in making big decisions and setting goals for the family that drives our family toward success, definitely more so than my dad. I have a stronger personality than my brother. While I don’t physically need to “protect” my brother, I was the one that got him his job, I pay for his car, I do his taxes, because I’m better at some things than him and because I can. So if the WRITTEN law REQUIRED that only men do such things (in the context that we’re no longer hunters and gatherers…), it would disadvantage my family greatly.