It is not a trimmed premium; it is a separate product, a B & B fan made for various businesses to give to customers pre-air-conditioning at places like funeral homes and churches. The back likely has an ad and bio:
Considerably rarer than the B & B premium itself due to the item likely being used and damaged then discarded.
I cover the fan and other B & B Louis items, plus many other rare Louis items, in my book. I also have an extensive collection of B & B and related Louis premium items. There were quite a few.