First off: I totally agree, teach people these skills.
Secondly: There are however people who should never be trusted with anything more destructive than your average spoon.

A carpentry class will teach you how to make a bird house. Maybe even an end table. Which is cool and all.

But it will not teach you how to trouble shoot a furnace at 11pm on a Saturday night and it's -25F outside, (it was a sticking vacuum switch I got working and making it a $50 repair the next day rather than a $800 service call).

It will not teach you to understand what that clunking sound might be on your car. And how important it is. ( That Check Engine code was just a "gas cap leak" because you accidentally didn't get the cap properly tight or something far more serious).

And most importantly, it will not teach you know what is worth the effort to fix and what is not.

My Wife is a VERY talented and creative artist. She a good painter and she designs and makes some of the most beautiful jewelry I've seen. But she's frankly incompetent with shop tools and repairing things. There are many, many people just like her across the planet, both men and women. Just because someone has the will to act, does not meant they have the aptitude to act.