The hair cutting place I went to years ago all had hair dryers with the emblem on it. I thought it was so cool and looked it over carefully. It did not say Alfa Romeo on it and I then realized that the emblem is actually just the seal of Milano that the city allowed Alfa Romeo to use for their car factory. Maybe Alfa Romeo has nothing to do with these products?
During the ealy post WWII years, Alfa (as many other car manufactories did) made all sorts of products, among this several house hold appliences.
NB! BMW suvived by rebuilding industial and home washing machines and lots of other run down machinery after the war.