It's not sluggish at all. Modern law firms use all kinds of tech including lots of software and even AI/semantic analysis systems. There's definitely a high bar before adoption due to regulations and security but that's for good reason.

The problem is that there's a limit to the automation. Human lawyers can't be replaced. Interpretation, strategy, communication, court dates, etc. all require the human factor. No amount of software is going to make the human go any faster here.