They were widely used in Italyand when I was researching the Sten book, a Wartime Armourer told me that because they were so readily available to all and sundry, they were a valuable form of 'currency' and every Armourer had a 'spare' in his tool box. In fact, his spare (a Mk3) was still in his tool box when he was demobbed in 1962)
I doubt whether Thompsons were issued to Officers and Stens issued to the OR's. Just imagine it, looking through your binos and the obvious target is the man carrying the Thompson - the Officer. No thanks, it's a death sentence. On ops, even today, most Infantry Officers didn't even wear rank slides
I know the bloke in the video. He's hoping to get into those video's for 'discerning gentlemen' soon!