Hobbs,
The SD's not only give the pertinent information to the shop for fabrication, but they are submitted for approval to verify that the fabricator has interpreted correctly the contract documents.
From my perspective point as designer and SD reviewer, I can tell you that the first thing I check is the center-to-center and WP's dimensions; followed by the size of the member and the connection details.
I do not believe there is a "written law" that says these dimensions have to be shown on the SD's. The AISC Specifications and the Code of Standard Practice do not specifically call for these dimensions to be shown, and they do not refer either to the AISC's publication
"Detailing of Structural Steel". Many jobs specificacions refer to this publication by name; and I believe that it is considered as the "standard" in the industry. I do not have a copy of this publication at hand, but my recollection is that it indicates, at least on the examples provided, that these dimensions should be shown. In all the SD's I have ever checked, center-to-center and WP's dimensions have always been shown; and they have been very helpful.
Just one opinion
Regards
AEF