I dont think any of it would have to made public in the UK.
IME of a simple Civil case in the UK, there is a lot of shit that can go down over discovery, with one side or the other not disclosing stuff and you having to decide if it is worth going to the court to get a decision on those matters. EXample .. you don't think you got all their accounts or emails etc.
As Derek points out CIG are already playing silly games so .....
One assumes the law firm acting for CIG (even with Scrotumsin Liarmouth's intervention), are acting within some kind of professional boundaries. Thus they know what they are risking by taking the approach they are taking..