Never heard of Alan Bednall so can't offer any help there, but I have had a couple of radios with Pirate stations marked on the dial.
This radio had a Luxemburg Band Spread, marked for Caroline.
https://www.radiomuseum.org/r/masteradio_d525.html
The same style of model was also available in various other makers names, e.g. model types GEC G825 and Sobell S325, but not sure if they had Caroline marked on the scale.
The RGD Rover RR221 had Caroline, R London, & R City all marked on the dial. I have also seen the KB Cobra KR021
https://www.radiomuseum.org/r/kolste...r021kr_02.html
with similar markings on the dial. The pirate station names were short lived on radio dials as my example of the Cobra is marked BBC1 in the dial and it soon became illegal to mark them.
Mike