It doesn't seem like Oscar's sanity is at issue -- the judge seems more concerned with whether his mental condition might have contributed to the offense, a factor she can take into account at sentencing if he's convicted on the lesser charge, which has no mandatory minimum penalty.
The prosecutor may have just shot himself in the foot with this move. If Oscar's diagnosis of a life-long anxiety disorder due to his physical disability and the pressure put on him by his mother to overachieve is confirmed by the new report, which will be done by a team of experts, there will be two such findings, one of which is by impartial experts who were not hired by the defense.
There's no winning premeditated murder here. The state's suggestion there was an argument is just that: a theory. It didn't prove it. Casting doubt on some aspects of Oscar's version is not enough for a conviction. They have to disprove it beyond a reasonable doubt. Given the conflicting testimony of the witnesses on the screams and shots, with the ones living closest to Oscar and in the best position to hear claiming there were no female screams and none of them testifying to hearing an argument, combined with the defense testimony that Oscar's pitch rises when he yells, I don't see how they make the threshold of proof beyond a reasonable doubt.
Oscar's bigger exposure is on the lesser charge, and having a second opinion will allow the judge, if she finds him guilty, to impose probation if she thinks he's suffered enough -- the independent expert confirmation will insulate her from claims she is biased or that Oscar "bought" his way out of prison with a paid expert.
I don't see much, if any, downside to Oscar from this. Oscar's case is not the headliner it was at the beginning because it's dragged on so long. The public has a short attention span and demands immediate gratification. Not getting that, they move on to other news and cases. In a month, when the trial resumes, there will be even less interest, or at least less emotion. That will make it easier for the judge to her job, which is to impartially weigh the evidence and decide if the state proved either of the charges against Oscar.