Personally i think it will all come out in the wash. It's individual and whatever works with who you are spending time with. Some women i know would be horrified by anything but joint decisions on everything pretty much (rightly so imo). Other females i know actively want mild dominance and a man to be a man / primate lol.

I believe that human should be human.
So much in this world can change someone, shape that someone, make it different from the neighbourg or the next guy. I believe that what is happening is that society whants us to be different. They want us to be mold in a very diffinitive way. Mans have to be square and women must be circle (or trianle, or rectangle. Use the shape you prefer here).
But the more we evolve and the more we see that his is not it. Some mans are women trying to act like man because of some stupid book writen 1600+ years ago. And some women want to be man, but they have to hide it.
And we believe that we have to act like this because of this society we are in.
We HAVE to be productive, we HAVE to have a good job, we HAVE to have the house, the car, the boat, the cat been chased by the dog, the kids, the canoe, we HAVE to get it together. And somewhere along the lines, we lost what it was to be human. And man are insecure beause they no longer know what it is to be... and women feel like they HAVE to be strong otherwise they won't make it, they won't be, the kids won't be feed, the family won't become because her man or her women is down on her knees, wondering: "Where the heck am I? What the heck am I?" Where the hell did we go wrong?
Society has messed us up. We no loger know who we are. We are being brainwashed and bombarded by subliminal signals everywhere and we wonder what is happening. "Obey!" "Consume!" "Listen!" "Work!" "Pray!" "Good boy! Here is your pay"
Humans are stong. We don't have to pretend. But our foudations are now so week that we have problems getting out of bed. We need to rediscover what it is to be human. From there, we will all blossom.

We live in an androgynous society.

Ew gender roles

It is called chivalry, from the code of behaviour for the knights of old. I avidly subscribe to it, whilst also allowing a woman to "go Dutch" if she so desires. Why shouldn't men open doors and allow women through first? However, women should play their part and be gracious about it. Everyone ends up happy.

Which culture do you take as your model?

Of course it's fine for a woman to ask the question, but equally, she shouldn't have to. What's concerning is the increasing reservations that men seem to have about asking, for fear of being seen as predatory. Yes, men need to stop treating women as property. The objectification has to end. The Islamic world is a long way off achieving this, but the Western one is currently trying too hard, taking things too far, demonising and even criminalising the traditional human mating ritual.

No don't act like anything be yourself if acting is what you do best then by all means but it feels better to go with what feels natural to you.

In the past , women had little choice , in getting with the man she wanted . Yes she could flirt , if given the opportunity , but , it wasn't lady like to approach a man . Basically , she was left with only the accept or reject portion of a relationship , and even today , a man who is rejected , may feel he was shamed and depending to a large extent on his culture , may feel he has the right to punish or even kill a woman for rejecting him . In some cultures , the parents still arrange marriages , and the couple may not even meet the intended until just before the wedding . Hopefully , the parents will have what is best for the intendeds in mind , but unfortunately , it may have more to do with finances , or how the parents will profit , rather than if the intendeds are compatible . Today , in this country , more women are able to make their own choices , and can readily approach a man she may have an interest in . That doesn't mean she's going to get what she truly wants in a relationship . Men frequently turn down a woman , because he feels she's too aggressive , or he may think she's only interested only in a sexual encounter , and sometimes that is exactly what she wants .

People ought to act however they want, irrespective of gender stereotypes. Also I think more people should try not to be assholes as often.