Speer Manual #8 is probably at least forty years old. Testing methods, powders, primers, etc. may have changed a bit since #8 was published. Might be best to consult current manuals, though many handloaders consider mag primers only necessary for Win 296 / H110. Most published loading data indicates this.
Using a 6" Python .357, I actually got slightly (very slightly) better accuracy with with magnum primers vs. standard (both CCI) with #2400 powder and a 158 grain cast bullet. However, the difference was not great enough to make me want to stock a different primer.
Accuarcy with 296 is equal to #2400, but muzzle flash and blast is noticeably greater, both in the .357 and the .44 Magnum. Because of this, I seldom use 296 anymore.