I mostly agree with you. But...

I have very bad handwriting due to dysgraphia. I suffered a lot in older years of school due to lack of ability to use Word/Latex homework to submit homework. Handwriting is not as important.

But what is exttenely important is ability to think with writing/drawing. Because at the end, paper is still the most free form of writing/drawingyou can do and actually creates and reinforces that individuals own style. Computers, however good you have them, at the end force students into one style of exposition which is the software you are using. Whether word or latex.

Paper allow you and force you to develop you own style of writing/organization information which is essentially what teaching is all about.