I actually learned a lot about cooking when I was an au pair girl in Austria. My first au pair job was horrible, so the Student Union at the university sent me for an interview to a new family. They were scientists with a 16 year old daughter: the wife's mother had just died suddenly, but this old Oma had done all the cooking. Frau Lang asked if I could cook, and I said "Not a lot, but I can read and follow any recipe". She reckoned this was a good scientific answer, so I got the job and the two of us, Frau Lang and I, followed the Oma's recipe book, and other cook books. Thus I ended up knowing how to cook and also how to shop properly. I think many young people, as long as they have a couple of brain cells or more, would learn it all out of necessity if they didn't learn at home or school.
The trouble is, with all the takeaways available, the absolute necessity to learn these skills is gone or diluted nowadays. Back then in the sixties, all I remember as fast food in England, was fish n chips. I don't remember any fast food in Austria at all, except hot chestnuts on street corners in winter. Of course, there were the cafes, but on a student income, not a chance.
If people decide these skills are necessary, they will acquire them. The secret must be convincing them that life is much better if you learn to cook, clean, shop and budget.