Principally it still wasn't a "Messerschmitt", but a "BFW" for "Bayerische Flugzeugwerke"
(Bavarian Airacraft Company), although, of course designed by Willy Messerschmitt
himself.
BTW, the 3-view shown in the linked page quite probably comes from Helmut Stützers book
"Die deutschen Militärflugzeuge 1919-1934", a real teasure chest for not much known
German aircraft from that era, altough only types are shown, that were actually built.