Privacy seems like it would be a major issue. As a litigant, I would not want the opposing side piping my case information to a third party and having this information used to train the AI for future cases.

AI could be very useful for helping pro-so litigants prepare documents. I imagine with this use case as well as the oral argument use case, judges are also worried about low quality output wasting the court's time.

Self-representation is frowned upon, "a person with themselves for a client has a fool for a client." But, where in the UK system is it disallowed, unless you are a repeated, "freeman of the land" nonsense spouter?

Off the top of my head: depending on the jurisdiction there are several important legal documents that you are disalllowed from filing yourself and the judge is allowed to reject you with or without reason

Doesn't the comment I am responding to set the jurisdiction as the UK. Can you name any applications you can't make yourself.