From what I've seen, when it comes to shooting underwater, these cameras should be reclassified from "Auto Control" to "Out of Control".
A substantial amount of control of any strobe begins with the camera. When the camera's settings are chosen "automatically" by reliance upon calculations based upon light passing through air, the results can only be less than desirable.
Underwater, the foreground illumination is controlled by the aperture in conjunction with the power level of the strobe. The background of the composition is controlled by the aperture and shutter without any influence of the strobe. Due to constantly changing ambient light conditions (depth, clouds, time of day), there is no way of determining which direction the auto camera will address the infinite options available (ISO, aperture, shutter, reciprocity) to render what it considers to be an acceptable exposure, all the time thinking it's somewhere else (read:land)
Another consideration when choosing a strobe for such a rig is size and user friendliness. Many times auto cameras are chosen for their smallness. Creating negatively buoyant superstructures around them defeats the original purpose. imho, we should just let them be. imho the money would be better spent on upgrading the camera. If the user is still committed to a strobe, then a strobe that offers some form of TTL (not Auto!) would be my choice.
BTW, auto cameras do perform quite well on night dives where there is no ambient light or background exposure to consider.
my opinion,
b