As both psychiatry and psychology have moved on apace since the 70's/80's it would be truly surprising had not some of his thinking been revised.
Psychological assessments mean little, they can' impact the evidence which convicted Jeremy. The main evidence that convicted Jeremy is evidence that he was planning to frame her, a lack of physical evidence that would have been present on her body had she killed the others and evidence proving she can't have killed herself someone else murdered her. The only way to get a new trial is to find something that undermines this.
Let's pretend they found evidence she threatened to kill her mother. Would such establish she could have killed the others without getting evidence on herself or could have killed herself? No! So it's not able to warrant a new trial. It is not an accident that they keep trying to find a way to undermine the moderator evidence and Julie's testimony. This is the evidence hey have to undermine in order to get a new trial. Concentrating on other aspects is not going to accomplish a thing.