A lot of it is upbringing, I find.
I am not fond of chivalry of the sort that is formalized (the man opening a car door for the woman when the door is already unlocked, pulling a seat out for her at a restaurant, insisting on carrying things). It's tedious to me.
You know what...what bothers me most about this thread, and chivalry, is the whole idea of "women being like guys, and competing with men".
Women being like guys?! Obviously a woman who does traditionally male things is no less of a woman ...'being' like a guy? That's stupid.
What is wrong with competing with men?!
It's a good thing! We're equals! We do it all the time - for jobs, etc. We're lucky to live in a time where we have the freedom to do so openly.
This doesn't mean it is good to compete with a romantic interest just for the sake of it - though some competition can be flirty and get the juices flowing.
-that's my opinion...
The formalized chivalry sets up a situation that I dislike. But it's relative.
I once dated a man who came from a Filipino family and he pulled out chairs, offered to pay all the time, opening doors (and ran ahead to do it).
At first I was taken aback - it almost seemed like an insult (me thinking "does he want to be control of everything? Is he going to expect me to playdown myself so as not to step on his toes?").
But...after getting to know each other, I realized it was just how he grew up. It wasn't demeaning - it was how he expressed his affection for women. And he realized I came from the opposite side - respect and affection for women was shown by allowing them to stand side-by-side with a man. Acts of chivalry and courtesy, in my experience, had often been ways of men showing and exerting their leadership over women. Disrespectful.
And we worked it out.
So...it does come down to expectations and customs to a degree.
Chivalry is NOT dead.
So long as respect is there - it's all good.