I have two DS's (soon to be 3) and hear gender stereotyped stuff all the time- "boys will be boys", "typical boy" "boys are like dogs- you just need to take them to the park and run them" "girls sit and color while boys are destructive etc.
In some ways I think my kids do conform to these stereotypes and other ways not at all. But I don't know how much 'confirmation bias' is in there and how I see what I expect to see, and how much is a self fulfilling prophecy. I keep saying i've brought them up no differently to how I would have brought up girls, but then I realise this isn't strictly true- they wear boys clothes for eg, and have many typically boys toys- they have a few dolls etc, but they do feel a bit like token efforts.
Do your DC's conform to stereotypes? If you have both sexes have you brought them up differently? Thanks?