I'm really curious as to how it is in the public interest for a public sector body to have these proceedings behind closed doors?
A lot of this case - regardless of how it goes - is related to public confidence.
Now NHS Fife can claim that tribunal tweets might be misrepresenting. That's fine. Maybe they are. But the problem here is precisely that there are question marks over the conduct of this NHS trust and it's staff and having question marks raises issues over public trust.
You can't expect the public to accept this in a case where silencing of internal and external criticism has been the very pattern of concern of the public and other cases in this area of concern have highlighted concerns over the abuse of power to silence... It's absurd. All you do is further undermine public confidence.
If NHS Fife is interested in their reputation and restoring public trust they need this case heard publicly so no one can cry 'cover up' or 'they just abused their power and silenced AGAIN'. This is relevant if they win - if they win in private, it undermines their own victory.
Unless of course, they are starting to realise that even if a ruling goes their way it's going to be a pyrrhic victory and will undermine the thing they care more about - the morality of their ideological cause.
If NHS Fife think tribunal tweets is misrepresenting, of course the only recourse to that is to further open up proceedings so that it's available to more people rather than saying the case should be filtered by 'approved' reporters - again that's about gatekeeping and who controls censorship. Power dynamics are a massive part of this whole subject.
I hope the judge has this understanding and acknowledges the entire case is about public bodies being publicly accountable...