I agree with you at 90%, the only thing is the gender fluidity. You can't be both sex at the same time, unless you're hermaphrodite, but gender is something different. It's a mix between bran chemicals (affected by your sex) and "social constructions". By that, i'm not talking like one of those tumlrina, but try to raise a girl exactly like you would raise a boy and watch what will happen.
My mother "knew" not closely related, but true story someone who hid a baby she had by cheating in a room in he attic where his only interaction was constructions site around the house. He now only talk and act like construction workers and cranes. If that is possible.. who knows