I would not. Kids should be outside playing and interacting with other kids, not coding.
Adding an implied ad hominem remark doesn't alter the fact you immediately contradicted your own advice.
If you meant "structured education of some form" and instead specified "school" I don't really see it's obvious the generality was intended.
Indeed the likelihood arises now -- given your implicit suggestion that people who don't attend formal schooling are somehow deficient -- that in fact you only considered school when you made your initial remark.
You teach your kids how to read, how to do math, history of the world - Computer science will soon be no different. Might as well get ahead and teach them during learning time.
What makes you think that? It's a very specialized field. It's not going to be something parents are casually teaching to their kids.
When I was young (12-15) I spent a lot of time programming and very little interacting with other people outside of school hours.
The same thing can happen with video games or even reading of course.