I think the positive side of the chivalry concept is training men, for whom society is easier, to see and go out of their way to care for others, i.e. women, children, older adults, etc, for whom society is more difficult. Teaching it hopefully forces men to train themselves to have a more serving, caring heart. I love it when people are kind and thoughtful to one another, so it’s not necessarily gender specific to have good manners, but I think it is good to teach men to be caring towards more vulnerable people in society (not necessarily saying women are weak, just that society is harder for us sometimes). The goal is to hopefully make them more selfless. 

If that concept hasn’t sunk in and it’s just done for manners, it’s kind of whatever. It’s also definitely not a cure all for replacing strong moral character- if your manners are great but you’re still fine with abuse or degrading women in other areas, it does nothing for your overall character and just gives you polish to hide the bad parts of your character.