Because I'm a dork, and wanted to see the specifics, I searched the definition on Google. Somehow, I don't think you're referring to the heavily-armed, cavalier code of conduct in Medieval combat, opposition to tyranny, etc. I'll go with the context I think you're referring to. 😀
I don't necessarily think it's dead, but to some degree it's dated, in this age where most people (regardless of gender) are encouraged to be independent and fight their own battles.
In the sense of "respect towards women", sure. Show respect for women as you would anyone else who deserves respect.
Of course, I can say that. Then I think about how I act at work. My customer service mentality is one I acquired when I was one of two guys who worked at Michaels (Talk to female customers like you would your mother or sister.), and it's ingrained. When I have male customers, I treat them like men. I greet them heartily, and professionally, and if I have a bunch of coin boxes for them, I slide them off the two-wheeler and let them take care of them. If I didn't think a guy could lift the coin, I'd offer to lift it for him, but none have ever taken me up on that. Most of my customers are female, and though I'm not supposed to, I find myself compelled to treat them differently. I smile, and still speak in a professional, yet more gentle tone, to keep them at ease (It amazes me how many people can be made nervous by someone just WEARING a firearm, in a professional capacity!). If I think they look <del>fragile</del> delicate (sometimes pregnant, or perhaps older.), I offer to lift the coin for them. As far as holding doors, I hold doors for anybody, male or female, only because it pisses me off when people are less than 10 feet in front of you, and only open the door wide enough for it to shut right behind them (especially when I have a two-wheeler bogged down with quarters!).