Schools need to re-think what the purpose of essays was in the first place and re-invent homework to suit the existance of LLMs.
If it's to understand the material, then skip the essay writing part and have them do a traditional test. If it's to be able to write, they probably don't need that skill anymore so skip the essay writing. If it's to get used to researching on their own, find a way to have them do that which doesn't work with LLMs. Maybe very high accuracy is required (a weak point for LLMs), or the output is not an LLM-friendly form, or it's actually difficult to do so the students have to be better than LLMs.
> "If it's to be able to write, they probably don't need that skill anymore..."
Any person who can't write coherently and in a well organized way isn't going to be able to prompt a LLM effectively either. Writing skills become _more_ important in the age of LLMs, not less.
"Writing is nature's way of letting you know how sloppy your thinking is." -- Leslie Lamport
Writing is an essential skill.
Writing well requires both having organized thinking and writing skills to carry the reader's thinking and feelings along where you want them to go. You can put your organized thinking into an LLM, perhaps as bullet points or dense explanations and it can do the writing skills part. You just need to be able to read well enough to evaluate the output, which is a lot easier.