Eric,
there is a difference between the original military navy stock made for the P-04 and the original army stock made for the LP-08. According to Jan Stills, the LP-08 stock is approximately 14 inches long* and the P-04 stock is approximately 13 inches long**. At the moment, I don't know if there were other differences in the cut of the wood. Original navy stocks with marked brass buttons, numbered attaching iron and maybe unit marks are quite rare and priced accordingly. Commercial P-04 stocks will PROBABLY be indistinguishable from LP-08's as Tom said.
Big Norm
* Imperial Lugers and their Accesories, Jan Stills pg 109
** Same as above pg 186
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