The fact that the optics were copied from, or inspired by the US and german devices does not mean that the reticles would be copied exactly. In fact, I think that it refers much more to the glass and metallic parts, to the hard parts of the construction.
The shot you posted looks to me like a picture of a japanese submarine when viewed through a US periscope, probably after the rendition of Japan.
There are many pictures taken through periscopes of Fleet Boats, and none I have seen do have those additional vertical and horizontal lines of that drawing you posted above.
See this f.e. :
http://en.wikipedia.org/wiki/File:Pe...ew-sinking.jpg
And this one from Wahoo's scope:
http://upload.wikimedia.org/wikipedi...scope-view.jpg