In any case, even if the uni insist on homework, the teacher can simply mark everyone who hands in their homework 100%. It is impossible for the administration to police it, or if they do, they'd need to hire someone to mark the homework (which conveniently solves the teacher's issue).

Students who copy all solutions from LLMs maybe learn something, but it's like 5% compared to what someone can learn by doing the assignment without external help, or even by asking their peers. It's a bit disheartening, because I invest quite some time and thought in designing the assignments.

It was very different before LLMs.

But it seems like the temptation to get perfect solutions from an LLM is too big for many students nowadays, they lack the maturity to understand that using LLMs for basic assignments is counterproductive.

I find bright people who are self-motivated tend to do problems on their own, but this is not the modal student. This is like the top 10-15% of any class. The modal student is motivated by getting a degree so they can enter the working world, and sees coursework as an obstacle to that. They'll take any and every shortcut to get the highest grades with the least amount of effort. However, particularly with first and second year undergrads (but I've also seen the same behavior in grad students), they do not understand the purpose of pedagogy. That doing problems is where you learn the material.

So if you make homework optional, the 10-15% hold steady and do it but the bulk of the class will stop doing problems and tank their grades on the exams. They will not internalize the lesson after that first bad exam, because it is morally and practially cheaper for them to believe they had a bad day or that their professor (me) is just a terrible meanie who constructed an exam with problems they've "never seen before" and "had no connection to the lecture" (actual evaluation comments I've had when I've tried to the homework-optional method).