The problem is that education is now a means to get a certificate of good job potential. As long as that is true, LLMs will be a problem. If all that matters is the metric (marks or getting the degree) then it's rational to use a tool that can achieve a good metric score with little effort from you.
Like so many other things, education has been commodified. All that matters is some quantifying metric, not whether stuff was actually learned. Just like what's being done to academia, citations are all that matters. Not what you did or how good it was. The metric that was meant to help you assess good work, without reading it yourself, has itself become what it means to do good work. This kind of environment incentivises cheating to a massive degree.