pilot fish:
If I understand you correctly, you are saying that this dive site should be reclassified as a cave dive and cave dive training required to do this dive safely?
I don't know about that. You keep talking about how it's classified and what's required. Why don't we talk about what the diver sees as the real risks and what they do to manage those risks rather than discussing what someone else requires of you.
The world is full of caves, oceans, lakes and rivers and the majority of it is uncontrolled. What counts is what the diver thinks and decides.
I think the correct "classification", if we need one, would be to say that it's a coral cave system. Regardless of the exact configuration it is an overhead environment at least in places and therefor has certain things in common with other overhead environments.
As a practical matter, I think we would be well off to consider the general hazards (those associated with being under water and which all divers are, in theory, taught to consider) and the specific hazards which are those that are unique to the environment. What are some? Depth, dark, overhead obstructions, restrictions...maybe others?
What are some other things we might consider? So far we've only addressed our own preservation. what about preservation of the environment itself? What do the walls inside that tunnel look like and what did they look like before it became a popular dive site? What skills do we need to minimize the damage that we do?
I still think Lynne put it best. You can bet on nothing happening to you, just follow the DM through and probably be right...but you might be wrong. the dive that the OP's wife had doesn't sound like any fun at all to me and I don't want to do one like that. Do you? It's clear that, though the DM got her up and she lived, he did not prevent the incident from happening. Is your goal to prevent it?
I think all a dive op should require is money. The steps you take for your own well being and the well being of the environment that you dive in is another matter.