I sincerely hope our girls won't go into trades, I dread the idea. First, it is not where real power lies, secondly, uterine prolapses, hernias and the rest. I agree with your about stem subjects, but unfortunately, the only girls (now women) who performed well in this country due to studying stems - like the only successful commercial architect, the first female brain surgeon, etc. they all came from repressive-dictatorial families, i.e. were pushed by parents' pressure. I wish we could have more role models like that, real ones, only with the normal non-dictatorial families, purely through normal (not private) schooling. I wish we could have one half-decent female chess player who could compete with men in chess - after all, we are told we are the same, aren't we?
I also wish women can leave all the B&Q, trades, and other 'shovel-heavy shit' type jobs deflections alone and concentrate on gaining access to real power - i.e. architects, lawyers, doctors, chemists, physicists. I did not include engineering (real one, not fixing electric mains) meaning materials engineering, civil engineering, etc. because unfortunately we underperform in those disciplines as well, despite massive leg up by all educational establishments.