Sure, but some are quite arbitrary and not particularly useful. Like clothing styles, hair styles, hobbies and interests. Those are really the only areas these parents seem to be addressing.
Many folks have a singular notion as to what is considered arbitrary and what isn’t. What works for one culture may be seen as arbitrary to folks in another culture.
The intellectual bent and interests of the budding child, no matter the sex, must certainly be addressed. Yet as soon as the boy child or the girl child(not knowing which in this story) asks why the opposite parent has a certain set of genitals and they don’t and who has babies and where do they come from, then the battle is on and the masks of ideological gender neutral nurturing must drop, at least for sake of pure intellectual honesty. Women with vaginas have babies and men with penises do not. “Parents can still act to “round off” the sharp divisions that have existed between perceived gender roles in the raising of their children. Boys get to learn to clean the house and cook their own food for this teaches them self reliance and to be self independent when there is no mother around to do the “girly” stuff. The girls can learn to cut the grass and rake leaves ao that they know how to do that when they own a home and there is no man to do it for them. The parents can turn a blind eye if Tommy plays dolls with his sister for a while. Teacing co-operation,mutual support and encouragment, and sharing does more to lessen gender role differences then an enforced ideology that makes dull unimaginative drones of both men and women.
Proverbs 31 describes a woman who is beyond value. Yet when you read the description....she has attributes that could be seen as more manly then many of the soy boys living in parents’basements and and more manly then the perfumed, pompous metro sexual squish men(Mitt Romney comes to mind) that have infested our politics. She is wiser still, than most of our lady politicians as well. AOC and Kamala could not stand up to such a woman. Palin is a woman like that described in Proverbs 31 which is why the establishment tries so hard to keep her buried!