I don't think that's quite it. Particularly in America's common law system, written laws are not "the law", in terms of what actually happens in enforcement, or in judgment when something ends up before a court. You have to deal with unwritten or disparately-documented standards, norms, case law, etc. LLMs don't know and can't account for curveballs that appear in practice; they'll correctly tell you what the law actually says, and work off that documentation, and blow your case, because that law isn't "the law" in its practical totality.
The lawyers with contempt for AI aren't necessarily the best "critical readers and reviewers of documents"; a good number just appreciate the substantial moat the current system keeps for them, and are contemptuous of 1) attempts to cross that moat without paying a toll, however likely that attempt is to fail, and 2) the way such failures highlight that our legal system doesn't work the way most people seem to think it does, because that increases the chances that the public will become dissatisfied and push for change.
I guess if it doesn't cross that moat, there cool with it?