On jollier Parker "news", I hadn't realised he plays on 90s British comedian Vic Reeves' album I Will Cure You.
He has a long solo on "Oh, Mr Songwriter", half way through which Reeves, supposedly out of hearing, shouts "PACK IT IN, PARKER!".
Edit: Ha! Han Bennink's on it too. They're on a couple of tracks. The whole thing was produced by Steve Beresford.
Here it is: at 1:55. https://youtu.be/wjkyrI2NukM