Are you really trying to put the genie back in the bottle to the extent of making high schoolers write all their coursework by hand? Or maybe we should bring back the typewriter for distraction-free essay writing...
The teenage brain is not prepared for addiction of digital magnitude.
You make this sound like it is some long-gone practice. I was writing maths by hand as recently as 2020 in university, for my CS-associated maths courses (linear algebra, calculus, physics for computer graphics, etc).
In pre-university essentially all coursework was done by hand, and the national exams are all still handwritten.
I bought a cheap graphics tablet, and still handwrite my math, but on a digital whiteboard on my PC so I can save and take backups of it, and waste less paper. But I still get the tactility, and its associated benefits (the act of handwriting something helps you remember it better)
I'm not disagreeing at all here, I tried live latexing my math courses and it was hard. I wish I had had access to a cellphone + good digitization back then. (just scanning it in was kinda pointless and I graduated about the time Android came out)
This was by far the biggest time sink in my maths courses, and frankly, a giant waste of time. Sure, the end result looked beautiful but I think I understood less of it than if I'd just written it all down on A4 ruled paper in gel pen.
The invasion of tech into the classroom has not produced more capable graduates. There's a lot of empirical evidence to the contrary.
The mind is a muscle, and developing that muscle is the education system's main purpose.