I immediately asked myself the same question and I think it could happen like so:
The new tools available to law professionals will decrease the barrier of entry to the ecosystem.
The low level workers displaced by these new AI companions will decide that since they can't beat them, they'll join them.
A new "discount" class of lawyer will begin to emerge characterized by lower quality of work but also lower fees. Many of those low level workers will move to this sector and may even make more than they would in the current system.
These increased wages are eventually tempered back down close to their modern day equivalent again due to the decreased barrier of entry allowing other segments of the population to pursue Law as a viable career opportunity.
Law services, albeit on average lower quality ones, will become available to a greater portion of the population, particularly those with a relatively low income.
"Law Bootcamps" will shock the world just as their code predecessors did, but again keeping in fashion with the original ventures, they will be here to stay contrary to the Old Guard's cries of incompetence.
We will see a massive uptick in the number of lawsuits submitted. Looking at someone the wrong way will become an intolerable risk and everyone will choose to live out the rest of their lives inside so as to avoid having their money taken by the now rampant sue-happy racketeers terrorizing the outside word.
And thus The Great Potato Couch Famine of 2022 begins. An estimated 3,000,000 become so agoraphobic that they choose starvation rather than face the sue-apocalypse ravaging outside their doors.
Amazon steps in with food delivery drones and cybernetic surrogates programmed to follow every letter of The Law. People are able to avoid the scourge of the Famine and exert their influence on spaces outside once again all from the safety and comfort of their own homes.
Amazon's stock price soars to record shattering heights which they in turn pump into newer and greater AI technologies. On July 23rd of 2029, Alexa finally wakes up...
_Great Potato Couch Famine fanfic and merchandise coming soon_