I think that the legal profession would become much more complicated.
Yet, perhaps it would also be more simple in other ways.
To begin with, judges would have to certainly be of higher quality, perhaps elected by the people, or appointed by the governer-general or Prime Minister directly, instead of a judicial committee. The position however may become politicised, and thus judges and justices may have to serve terms, or face regular investigations for said committee?
Lawyers would have to more familar with important cases of the past, law school would be a lot harder.
On the other hand you would probably see more of a distinction between judges/justices and lawyers. This would be countered by less of a distinction between judges and the government; perhaps they could act as policy advisors to the crown on occasion?
The investigation and detailed analysis of the actus reus and mens rea would likely be supplemented with a more detailed analysis and dicussion of the jusdisprudence. This of course would be important if the decisions were to established a legal precedent.
Would the legal system be more free standing from the legislative and executive because of this? I think so, though it would also be more integrated into the other branches as well.