Every species follows the path of least resistance, this is because, doing things the easy way, expels less energy. Water also flows the path of least resistance, perhaps everything does on planet Earth IDK.
With that said, it should be no surprise to no one, that a child will use LLM, to do their homework for them. Put in the least amount of effort possible, to achieve the goal. When I was a kid, there were no LLM.
Sure, there were times where kids plagiarized others work, but teachers easily detected it, and kids would get an "F" or detention. With LLM, its a lot harder for teachers to tell, unless they know their students really well.
Now, if a person used LLM to supplement their paper, that would be a different story. Kids using LLM to do their entire homework, is the very definition, of following the path of least resistance. I'm pretty sure its bread into our genes, in order to survive the wilderness.
We see it everyday in the way people behave, for instance, when choosing to wait a line for an escalator to avoid climbing up a few stairs; in how people eat junk food instead of cooking a proper meal; in how they trade convenience for control over their personal information.
Even things like basic math or handwriting have become difficult, ever since smartphones took over people's pockets.
I'm guilty of some of those things myself, of course. I also like convenience, but I have to fight it every once in a while because I can tell that it affects me. And I also see it in others around me, almost every day, in one way or another.