I really don't think abolishing chivalry or acts of a "gentleman" will make a difference on for example the women that are dismissed in many countries on political charges just because "she's a women" and "men know how to manage political things better"
Imo this stereotypes is what really make them be less, not any chivalry or "gentleman" so I'd rather focus on that than the stuff you mentioned earlier. And it's not like you are being forced to be a "gentleman" anyway no one is pointing a gun or forcing you to do so, you do it because you feel like it