if I understood the details correctly it seems to me that the problem was mainly about dropping the stage tank too far away (moving slower at first because filming at the start of the dive but still dropping the stage based on pressure so that when there was more swimming later on the stages were too far to be reached) due to the filming at the start of the dive which consumed thirds earlier in the dive meter/feet-wise than would have happened if advancing normally the whole time.That's the scary part of cave diving. AFAIK, most accidents happened to experienced divers. They did not realize they were in danger until they were close to death.
the way I understood it the drop point would have need to be marked on a pre dive (to test without filming how long the stage will last and mark that drop point) and when filming to shut down the stage at actual pressure and switch to main tanks but carry the stage to the marked drop point and leave it there so that it is placed for swimming only exit and is thus much further in the system. Then follow normal rules on main tanks for the rest of the dive. Please correct me if I totally misunderstood it, I am trying to learn this stuff the best I can
That is only how I understood it with my little knowledge (I have only read a little bit of cave diving books, never actually done anything like it nor gotten into a cavern course yet) but we'll be waiting the final report of course