boulderjohn,
In my thinking, it depends. If the diver has embolized, seriously has bubbles in the circulation of the brain, death will be very, very quick, perhaps quicker than would happen with drowning. I'm not a doctor, but I think looking at the physiology, if the lungs were dry, and the diver dead, death was not from drowning. A diver on the surface is in a vertical position, in which those circulatory bubbles would go directly to the brain. I don't think this diver's body, Christine as I recall, was evaluated for an air embolism. It's easy to say "drowning," but more difficult to look deeper into the cause of death.
Now, years ago (1980s) I tried by inventing the Para-Sea BC to make a case for a front-mount BCD that could save the life of an unconscious diver, but the diving industry wasn't interested. They wanted wrap-around and back-mounted BCDs on the scuba unit. Your statement about an unconscious diver drowning is true, but did not have to be true. The below diagram comes from my patent.
SeaRat