>from what is actually important in writing, which is forming your thoughts

for one it's not clear to that this is what is actually important in writing or unrelated. That's just a bias in a culture that systematically neglects embodied practice.

In Japan there's an increasing phenomenon of Kanji-illiteracy among the young. Turns out there is a close connection between writing them out, the order of strokes and the physical activity and the memorizing of meaning of the Kanji, just passive observation or digital input can't replicate. There's a reason calligraphy is such an important tradition. There's an inherent connection from your hand, to your working memory to the processing of symbolic meaning.

This mirrors the discourse you see in math. "Rote memorization, writing equations, isn't important, you need to be able to think" turns out it really isn't and countries that teach traditionally excel at math. We live in an educational culture of thinking-pilled people who disregard the physical world and practice with abysmal results.