"This is the camera I've been waiting for my whole career: jaw-dropping imagery recorded onboard a camera light enough to hold with one hand. I don't know how Jim and the RED team did it--and they won't tell me--but I know this: RED is going to change everything." Steven Soderbergh
Soderbergh uses the pseudonym Peter Andrews when he's a DP. Shooting the movie you're directing is not something the ASC is a fan of. I went to an ASC even earlier this year, and there was some grumbling about Soderbergh and his ilk, though I can't think of any other prominent directors who shoot their own movies.
There are a whole slew of crazy rules set forth by all the guilds, the DGA, the Writer's Guild, the ASC, and the ACE about what names can appear where. You'd think that the person who does the work should get the credit, but that would be too logical.