"Do they still even teach woodshop in schools?"
I don't know if they still do, but this along with home ec, graphic arts, metal shop, typing, yes ACTUAL TYPING, and that class was mandatory! Its now become a keyboarding and intro to clicking mostly, was taught in my HS and middle school. You had to have credits in this to graduate, and this is from one of the top 5 districts in the state then, and now.
As for mowing/yard work... a perfect example is right next door. Two very able bodied rugrats that do no mowing, yard work of any sort. The parent(s) do it! The yard is over grown until one of them decides to do something about it. These two rugrats (preen/teen) never venture out... My parents would not have, and did not allow this! As much as I wanted to spend Sat. watching Scooby Doo and others, I was forced to do the yard work, mow, trim, rake leaves, shovel snow, etc... I still do it now decades later! As I don't (and won't ever) have any slave errr rugrats labor to do it! And whats even worse the parents work at Home Depot! One is even a manager!
Those two rugrats would be out there mowing, trimming, etc. and not doing what ever it is they are doing.
I know how to do electrical work, can do basic painting etc.. Woodworking stuff, nope, plumbing, NO WAY! For one I have no interest in them. I have built and repair computers for decades since the whole DIY PC market came about. Thats all my own personal systems have been since 1983. I also dabble in electronics, and can build from schematics etc.. I just don't have a lot time to do that, and now days with the SMD stuff, the equipment needed to do that is just outrageously priced. Although some of the test equipment has come down like DSO, sig gens, etc.. but of course its all made in one place.