AI technology as it stands is not even close to actually replacing a human lawyer though.

Maybe it could "augment" the lawyer's human intelligence, but as it stands, we would need real breakthroughs in the field of AI to actually do logical reasoning (and I'm not talking about black-and-white hardcoded Prolog).

If anything, contemporary AI tech could help perform diagnoses in the medical industry. Indeed, there are several deep learning startups tackling this problem. Diagnosing medical conditions is essentially a classification problem so you just need the right training data and a convnet.