It does look like a nice bit of work, though it is being made in a slightly modern style. If authenticity is important then it should maybe have screws rather than nails holding it together.
Of course, I only know how the bodies of Dennis Fire Engines were built, it is entirely possible that American trucks for the war effort were built in a different style for economy and expediency.
Thinking about it, I read a blog about restoring a lathe stand that seemed to have a surprising number of nails in it, so should consider retracting my comment above.
I can't seem to find any post earlier than number 6
http://markhaglundsfurniturerepair.blogspot.de/2008/05/post-6-rivett-lathe-608-oak-base.html#.VxnyAPkrK9I
The finished item:
http://markhaglundsfurniturerepair.blogspot.de/2008/06/post-20-rivett-lathe-608-oak-cabinet.html#.VxnyQ_krK9I
I used this as a reference when making my own replica lathe cabinet.