Hoffmann was a well established outfit, with a pedigree going back to the late 1890's. They were an original suppler to BSA and many unmolested bikes will be found to use this brand. My reckoning is that the brand was still available to 1969, when amalgamated with Ransome and Marles along with Pollard Ball and Roller Bearing Company, to become the more familiar RHP Brand.
So with evidence of a fair amount of abuse, the bike must have run like this for a fair while... but I can't see it being a factory fitted original. With ham fisted treatment anything is possible, I'd check the crankcases for being a matched pair and undamaged.
BSA Service Sheet 703 identifies commercial bearing types against BSA part numbers. Sadly most of these great stalwarts of British Industry are no more.
Post that cracked race in "Great Mechanical Disasters" Well worthy of note.
Swarfy.