"That is literally the bread of LLMs." correct. However, programming has a large number of advantages RE LLM use compare to law:

You can execute the logic, and set up loops from the output. You can set up more useful RL. It's easier to generate synthetic training data. It naturally supports tool use and agent parallelism. It's easier to integrate with APIs (with what few APIs the court systems provide). Programming explicitly encodes abstractions at the function, module levels etc that are easier to KG/reason/build upon than text chunks.