Not lawyers-- judges. Judges, in my experience, don't take kindly to anything or anyone infringing on their power.
Edit: I've met a ton of attorneys who are bullish on LLMs preparing work for them (kinda like robo-paralegals, albeit ones apt to spout bullshit). Judges, being human (and lazy by dint of evolution), would probably lean on LLM-based analysis too. I cannot imagine they'd ever stand by and let decisions be made by a non-judge.
That already happens, in the form of arbitration.
In fact, I'll bet someone makes a bundle selling AI arbitration services that do just that. Got a beef with BigCo? What could be more fair than letting HAL settle the matter?
If I had the sense God gave a gerbil, I'd already have Claude writing up a patent application on this. (Edit, too late: https://www.adr.org/ai-arbitrator/ )