This has been my experience as well. I used to work at a research group that was hired by law firms to build new tools and products to assist law firms in doing their jobs. Some of the firms I worked with were had custom machine learning based text classification & extraction tools that were written in the early 2000s; long before this kind of technology mainstream.

Obviously the legal field is very diverse. I'm sure there are 80 year old lawyers out there still using teletype terminals to do their work because that's what they know. But my experience with larger law firms is that they see technological innovation as a key to their success.