That would be very valuable information to have, because probability theory teaches us that the number of fatalities per certification level = total number of dives per certification level x probability of a fatality for that certification level.
Having that information would answer the interesting question: does probability of a fatal accident decrease monotonically with certification level and experience? There are many examples of hazardous activities where the probability vs. experience curve is bathtub-shaped because experience and familiarity can lead to complacency or a willingness to take greater risks.
I'm sure there must be efforts going on to compile data like this, but it is easy to see that gathering good-quality data would be quite a difficult undertaking requiring extensive resources. Maybe one of the experienced cave divers on the forum could point you towards good sources.