What made me chuckle a bit is that right at the start Steve Coogan made the point that Paul McMullen is a PR disaster for the News of the World and other tabloids, and all his sort of behaviour on programmes like this just continues to keep the story in the press (and people like us commenting upon them).
The reason Muroch has closed down the News of the World, is in an attempt to remove the story, and it's association with News International from the public eye, and be seen to be "doing something". If those involved just kept quiet, made no further comments, and a low profile, then the story would go away quite rapidly (at least in the news media). It may well result in prosecutions and court cases, but there's little they can do about that now, and those in themselves will result in more media coverage, but what they can control, to an extent are their own appearances.
With nothing new to cover, the media will have nothing to broadcast, so will go and find something else to discuss, every time someone like Paul McMullen opens his mouth he gives them something to show on programmes like this, and often mind bogglingly stupid statements to show up how rancid their behaviour is. He isn't very good at doing this sort of live event, he ended up looking gob smackingly unpleasant, he isn't going to gain any sympathy, because he doesn't appear to deserve it (at least based on that show), and he just keeps things high profile. Any half decent PR bod would probably have told him to keep his mouth shut, and go on holiday for a few months.
Of course, it's quite possible that he doesn't give a monkey about the News of the World, and this appearance is purely an attempt to raise his profile, and appear on more similar events (presumably looking for large appearance fees), and that would seem to be entirely appropriate to his character.