That's a terrible use for an LLM. There are several deterministic search engines attorneys use to find relevant case law, where you don't have to check to see if the cases actually exist after it produces results. Plus, the actual text of the case is usually very important, and isn't available if you're using an LLM.
Which isn't to say they're not useful for attorneys. I've had success getting them to do some secretarial and administrative things. But for the core of what attorneys do, they're not great.