1) Except that in the western world we do not tell people their whole childhood that they are to do X because of their gender. We actively tell people they can be whatever they want, and as far back I can remember in primary school (early 80s) that's been the case.
2) Valuation doesn't always equate to monetary remuneration. For example (at least in Australia), police, teachers etc get FAR more leave and holidays compared to the rest of the country. That needs to be taken into account as part of the valuation. Stress also factors into why certain professions are "worth" more than others. IT is highly stressful, in comparison to other social professions.
Not explicitly can't but there's a lot of 'boys work' and 'girls work' gendering around work and skills. Progress has been made sure but there'll be a lag of decades before changes at the childhood education level work their way through to employment stats.
2) Valuation doesn't always equate to monetary remuneration. For example (at least in Australia), police, teachers etc get FAR more leave and holidays compared to the rest of the country. That needs to be taken into account as part of the valuation. Stress also factors into why certain professions are "worth" more than others. IT is highly stressful, in comparison to other social professions.