<...> pay at least £35,000 ($48,600) in legal costs <...>
I thought that the ruling was kind of the end of the cases as is (was), but there must still be some trailing aspects going on behind the scenes in relation to the payment of the legal costs. Now, over a year later, the below linked article states that the High Court in London recently ruled that Cøbra needs to dox himself if he is to contest the payment of the legal costs he was condemned to pay in the 2021 sentence.
As far as I can see, Cøbra would need to reveal his identity (were he to contest the fees) because the defendants need to:
<…> identify themselves in the manner indicated in the application notice.
It therefore seems that the self-doxing is derived from the need to provide his identity on a form, with no way around it.
The judge does point out though that:
<…> should Cøbra not wish to unmask themselves, they can request anonymization. That, however, will not prevent the claimant from learning their name.
I figure that above means that there is a chance to anonymize information to outsiders (i.e. publicly published appeal results is my guess), though not to their opponents (Craig & Co.), which would have no trouble in making it public somehow I figure.
See:
https://www.coindesk.com/policy/2022/11/25/bitcoinorgs-cobra-must-unmask-to-challenge-craig-wrights-legal-costs-uk-court-rules/