Yes, and no. I refer back to the classic Let’s eat Grandma. Without that comma, the sentence makes no sense. I think understanding that sentences need punctuation IS a critical thinking skill because it’s a means of providing clarity and intent.
I love this case from 2018. https://www.fedbar.org/wp-content/uploads/2018/10/Commentary-pdf-1.pdf
I suspect in the next year ot two, educational institutions at all levels are going to have to make some hard decisions about what writing skills need to be taught. We still have to teach kids to read and to understand basic grammar, sentence structure, punctuation and so forth because they will need to understand what they are reading. But to what extent?
Is it possible that there will be a whole new field of study? Using AI in communication or AI and Written English. Will there be a whole new field opening up for English majors who are proficient in AI usage? Wouldn’t that be great!