Well, it could mean that sentences imposed on female criminals by judges may become harsher (male judges are notoriously susceptible to poor-little-woman defenses).
And yes, it is part of the legislators of the US becoming more female (since almost all legislators have at least some law background).
Do I think it will change how the law is practiced much beyond that? Maybe slightly. I think even more things will be handled with plea deals, there might be slightly less hail-Mary theatrics in your average trial, etc, but in the long term I would expect to see just as much corruption as in more male courts.
My problem is the other shoe: The fact that fewer men are getting the necessary bonafides to become lawyers, just as fewer are graduating college just as fewer are graduating high school (in the US). More men who don't have the education they need to support themselves (and potentially family) will turn to crime and the prisons are full enough. The fact that they may be prosecuted, defended and judged by women isn't the issue. The issue is that more men will have fewer jobs.
Due to societal norms (and I know feminists will hiss when I say this, but it is true), unemployed men are worse for society than unemployed women. Unemployed men are FAR more likely to enter gangs, militias, take their discontent out with guns and bombs. Society is far more protective of unemployed women. This is one (of many) reasons why there are more homeless men than homeless women.
Frankly, more women in corporate law is unlikely to be noticeable. I have no reason to believe there will be any less corruption. I do think current corporate paranoia against sexual harassment will continue to increase for years regardless of whether legal types are male or female.
In the short run, more women will simply mean that the less risky less compensated parts of the law will become more female far faster than the rest. This is similar to the majority of PCPs in the Western medical world are now female but the majority of surgeons are still male.
It does make me wonder if the male doctor and male lawyer will go the way of the male bank teller. The major partners/owners may still be male (due to the risk), but yeah, it could be that an increasing majority of middle management down becomes female.
I have no problem with that if it wasn't for the implied increase of unemployed men. That, I believe, could spell absolute disaster.
And of course, the US legal system has so many problems now, I'm not sure how it could get much worse. I suppose it could get slower.