As with most Florida shark attacks, the probable culprit in yesterday's fatality is the bull shark, Carcharhinus leucas. The bull shark is one of the "big three" man-eaters, the others being the larger and better-known great white and tiger sharks. Though the two larger sharks are credited with more documented attacks, the bull shark is probably also responsible for many attacks by "unidentified species" because it is of medium size and unremarkable body shape and coloration, thus hard to identify. Also, it is common in the temperate seas, estuaries and even rivers of many highly populous third-world countries where attacks may not be reported at all, and so might actually be responsible for more attacks than any other species.
The coast of North Carolina where I'm living now is arguably the shipwreck diving capital of the world, and the major dive operators are right here in Morehead City. Bull sharks are regularly seen at some of these sites, and this species has not been a problem for divers, as far as I have been aware, here or elsewhere.
Curious about this, I checked the statistics in the University of Florida's International Shark Attack File and found that while bull sharks accounted for about 12% of attacks on humans overall, and more than 16% of human fatalities (again, at a very minimum, due to difficulty of identification) they accounted for only 3.8% of attacks on divers. What explains this discrepancy? I thought of several possibilities:
1) Bull sharks don't attack humans if they can see them clearly. Hence they are dangerous in the shallow murky waters close to shore, but in the deeper, clearer waters that diving takes place in they are not dangerous.
2) Some other behavioral factor makes them more dangerous in shallow water. Perhaps their feeding strategy changes in deeper water and people no longer fit the profile, whereas in shallow water they are indiscriminate feeders.
3) Bull sharks are equally dangerous animals in either environment, but are simply much more numerous in areas frequented by swimmers than those frequented by divers
I don't have any research at hand that would tell me where these sharks spend how much time, but bull sharks do have smaller eyes than other species of similar size. To me this argues strongly for hypothesis #3. The eyes are reduced because they don't use them much. They don't use them much because they spend very little time in clear water. However, I also think there may be some validity to #1 and perhaps #2.
Why does it matter? Aside from idle curiosity, if the explanation is #3 then divers on these wrecks aren't completely safe. Of course, they aren't in great danger either, given that attacks by any shark species on divers are very rare. Most of these wrecks are deep dives as recreational dives go, so the danger of a diving accident (the bends, air embolism, pneumothorax, drowning, etc) is surely much greater than the threat from the sharks. However, the bull shark would remain a much more dangerous animal than the other sharks normally encountered diving in these environments and would warrant some caution.
If the explanation is one of the first two, however, then they are much safer. Bull sharks in this environment might be no more dangerous than grey reef or sandbar sharks.
My guess, however, based on limited personal experience and hearsay is that bull sharks are not a particularly common species on dive sites worldwide. If this is the case and relative scarcity is in fact the reason for the small number of attacks on divers then they may present a small hazard to divers when present.
As it is, I would dive (in clear water) with bull sharks around, but I wouldn't spearfish (if I spearfished) and would get out of the water very quickly if I cut myself. I'd also probably avoid bright colors and jewelry (if I owned any) as usual for sharks, though I'm not sure it matters with this apparently not-very-visual species.