I don't know the names. They all seem to have the pro Acrobat stuff, but more often use something also bundled with search tools perhaps? Communication between lawyers on opposite "sides" often seems to be by PDF, not source (although sometimes that too) so I imagined they both have working docs kept separate because they don't want to to share some of the markup/comments. I asked one of them about that they claimed that using clean pdf output (no metadata or history) was worth the extra hassle as it avoided costly errors.
Anyway that's my limited experience having dealt with a bunch of them - no expert.
