"Girls don't do maths, physics, chemistry, and boys do badly with languages."
I am seventy and have spent approximately 50 years teaching, and of course went to school before that.
People have been making these remarks all that time.
I would question whether girls today are choosing "people-orientated skills and professions" because they actually prefer them, or because whereas my generation of girls were encouraged to believe that we could learn the same things as boys of our age, and depending on inclination become just as good at them, the fashion has changed.
A lot of girls are being made to feel that " girls are no good at maths, hard science etc" so they give up in advance and do the subjects they are told they have "a natural aptitude for"
My experience as a teacher has taught me that children become good at the subjects that interest them, and to a slightly lesser extent the ones that were well taught.
If a teacher makes a subject interesting and worth learning, a child, no matter whether male or female will tend to become good at that subject.
Those teachers who either cannot communicate their knowledge to their classes or cannot do so so it becomes interesting tend to turn out a whole class that is only middling good at whatever subject he or she taught.
Men can look after babies, bar breast-feeding them, just as well as women can, but a lot don't want to and make use of the argument that the baby's mother or indeed any other female has a natural mothering instinct - bosh!
Women can make just as good mechanics, doctors, physicists (what incidently did Monsier Cure do? We remember his wife.) Mrs. Einstein did the maths to supportt her husband's relativity theory; Alfred was hopeless a maths and according to those he play chamber music with coudn't even count! A remark that probably was never meant literally.
Let us get away from these old stereotypes.
If girls choose not to do subjects like physics or maths, and boys not to learn languages or look after infants that is fine by me.
But it is not fine to stop them even trying by telling them that because they are girls not boys, or boys not girls, they cannot do certain things (well enough).