I wonder how LLMs are going to change the cost of these activities as they become more accurate & capable. Feels like the costs should come down dramatically in the next few years.

I predict an arms race between people using LLMs to sue and courthouses using LLMs to keep up with the increasing burden of responding to all the incoming cases. Which means people with access to better, more expensive LLMs will have the advantage.

They've already brought it down. As with software, prices don't go down though. It's just that less people get hired to do what was once double the work.