Menfolk, do you politely hold a door open for a lady? I don't, I just slam the door back in their face.
Of course I don't. The Hoopla is quite a good site for stimulating a ponder about things. Do you teach, or have you taught your son to be polite to women, just because they are women? You did a wrong, if you did.
Holding a door open for someone just because she is of the female sex is absurd. Holding a door open after you have gone through a door for anyone is right, as is holding a door open in advance for someone who has their hands full. If they are old or infirm, or are struggling in some way, of course you hold the door open. If they are visibly pregnant, you go that extra mile with doors and offering a seat on pubic transport.
But don't play the door attendant. If there is a line of people coming through a door, hold it open for the next person and pass it on.
Having been a victim of being offered a seat on a tram by a woman in her mid thirties, it really is a nice thing to do. While I did not accept her offer, we subsequently had a nice chat. So yes, younger people offering their seat to an older person is a good thing to do. Tip: Don't sit near the front of a tram or near the train door and you won't see anyone who needs a seat. I can never understand why old people want to sit at the front, when down the back, you can view all the happenings of humankind on a train, tram or bus.
So, no, you don't teach your son to hold open a door for a a woman because she is a woman. Surprisingly to some, women seem to be able to open doors well enough on their own. What you do teach your son, and daughter, is consideration for others without being over the top about it.