A lot of people hear the term "cave diving" and get chills. Just thinking of swimming into a dark, scary hole freaks them out. And if they swallow their fear and take the plunge, they find this waiting for them:
Can I turn this around on you?
Why shouldn't I go into a cave? After all, I'm wreck trained (to roughly equivalent of TDI Advance Wreck), can use and follow a line, do a lights out exit, not silt it up etc etc.
The fact is, that I do dive in caves... but ones where I know the limits of my experience. We have a few caves that are essentially a single passage in and out, or a very simple set of limited passageways. The cave I dive most often is called Taravana Cave, it's at a depth of about 30m and is around 200m to the back of the cave - it's a beautiful dive. The cave is essentially an h shape, two entrances that converge into a single passage. I've been to the back of the cave a number of times. Am I being unsafe? Am I diving outside the limits of my training (I don't even have a cavern cert)? Am I diving outside of the limits of my experience?
To a certain extent, the basic wreck and cave skills are the same - but the
application is different. The awareness you have of the different environment really only comes from experience in that environment. An experienced cave diver could transition into advanced wreck penetration easily, but may not immediate have the "eye" for wreck specific hazards... spotting a structure unsafe due to rusting is different than spotting rocks that may collapse. Whilst I might be comfortable diving simple caves, I certainly wouldn't want to do anything that involved counting T's and jumps - way beyond my experience level.
Does a cave diver need certification to dive wrecks? Not at all. Would supervised experience (training or mentoring) help them develop "an eye"? Almost definitely.