"Trust but verify"
With an LLM it should be "Don't trust, verify" - but it isn't that hard to verify LLM claims, just ask it for original sources.
Compare to ye olde scientific calculators (90s), they were allowed in tests because even though they could solve equations, they couldn't show the work. And showing the work was 90% of the score. At best you could use one to verify your solution.
But then tech progressed and now calculators can solve equations step by step -> banned from tests at school.