Looks Legit to me... I have three BP: 1932 II, two 1933 III's.
Yours is in nice condition (minimal brassing ( if any?) ), and no paint loss around the lettering.
You can GENTLY buff the top of he RF housing with a very soft flannel cloth, and that should bring-up a silvery shine on the lettering: the engraving should be filled with an alloy called "Wistmuth" ( Wood's Metal ), which is an alloy of tin and bismuth (?), and will take a silvery lustre when buffed. The original lettering is either flush with or slightly proud of the surrounding surfaces.
Regards,
LF