That's not strictly true. There is a dearth of primary safety, deciding who can go and who can't based on qualifications and experience, but secondary safety is now pretty good in that DMs are very aware of what is going on around them. The statistics speak for themselves - an accident in the Blue Hole that is not simply a personal health issue for the diver concerned (eg. a heart attack) is now almost unheard of. The one area that IMO desperately needs improvement is for staff to carry adequate extra air down to the bottom (of the dive) with them, rather than simply relying on the tanks hanging below the boat. But again - present practice has in fact proved adequate.
I haven't seen those reports, but it's probably fair to say that almost every diver who goes on that dive is underqualified for it. The dive certainly goes beyond the limits most divers will have been trained for. How much that is the failure of the dive operator and how much is down to the individual diver is a moot point. If the PADI book (for example) were to be applied there would be no dive excursions to the BH, save perhaps the odd technical trip.
A lot of this must come down to the individual diver. Anyone can buy a gas oven, but it's up to the individual to decide whether to stick his head in it. There is a perception, which in my experience lies particularly amongst warm water divers from the USA, that safety is a matter for the dive operator. Too many people think that if they're allowed to do it then they must. Diving is in essence a solitary activity, it is must be up to the individual diver to make his own decisions concerning his own safety. It is the responsibility of the operator to provide a safe framework, with competent in-water staff, adequate spare air supplies and an appropriate overall timescale. Beyond that it must be down to the diver. If a particular diver does not feel comfortable working within these constraints he always has the option of not going. What I suggested above, of undertaking a series of "warm up" dives on the barrier reef where there is always a bottom just below you, costs money and most people don't want to do that. Fair enough, but that does mean that there will be an awful lot of new experience once you get into the Hole. Some people will cope with that just fine, others won't.