Well, Saturn is right, of course, but, as jon wrote, even official documents mixed up
both designations, at least until around 1944, when it became official standard, to form
a types designation from the name of its designer and not of the company. Maybe a result
from the widespread license building ?
Nevertheless, I read, that even the short form of the old name of the Messerschmitt AG (BFW),
survived until the end of the war, although in parlance of Messerschmitt workers only:
They translated "BFW" with "Bastel-Flugzeug-Werke" (Tinker Aircraft Company), clearly realizing
that many of the used production methods weren't really up-to-date