Did you get it from eBay recently?
For what it’s worth, I think it is genuine as quite a few of this variation have turned up with provenance and in experienced collectors articles. It has been suggested that these are the left over unpopular sizes that sat in stores for years. You would have to be a midget to where it over your blouse and everything else and lets face it, even in the 40’s, men always wanted to be taller/bigger. I still tend to go one size bigger for my uniform, gives me lots of erm....wiggle room.