There is something in our psyche
You should read "How the Mind Works" by Steven Pinker. The chapter on sex differences is just mind blowing. It might sound obvious when you think about it but to have e.g. attraction, jealously, pair bonding, sex drive, rates of infidelity, and even fashion and the beauty industry explained through the the lens of genetics and evolution is incredibly enlightening.
For example, the display of what might be described as "chivalry" in the traditional sense is motivated not only by a need to engender positive feelings in males and females as you say TornFromTheInside... It's a good feeling. I think for men, chivalry is one of the subconscious (maybe conscious) ways to do something simple that can have a positive effect - ideally for all involved
But also it is a way males demonstrate and publicly display their position in a dominance hierarchy (I.e. showing other men where they are in the pecking order).
Just consider the words we associate with "chivalrous"; polite, well-bred, honourable, decent, classy, gentlemanly, noble, princely
A man who makes a public display of saying "let me open that door for you" is also reminding himself that he sees himself "above" other men that might be described as the opposites of the above ill-bred, low-class, common, chavvy, nasty, rude, shabby and shoddy.
So Vashna's husband insisting on opening the car door for her and always driving will be exactly the same behaviour that causes him to "mention in passing" to his banker colleagues which English public school he attended, which regiment he served in. He will stretch his arm in just the right way so that others get just enough of a glimpse of his watch. He will also let it be known that Vashna is a SAHM - she doesn't need to work. That's his role - to provide and protect. While he might say his choice of car is a practical one - I will bet my mortgage it also sends a signal to his own father, his brother(s), the neighbours about his status. He wants to show other men and women what a good catch he is. So watch out, Vashna. You also have competition!
So chivalry - just the modern equivalent of willy-waving and demonstrating status differences.