This OP offers an interesting perspective. And, I have mixed reactions. On one hand, learning to dive without a BCD is a good idea in many ways. It requires a diver to really work on the use of breathing alone for buoyancy compensation. And, that is a good practice. I also agree with what I sense is part of the OP’s concern. I do not believe that – in all cases – OW instructors actively work on optimal weighting – which is a matter both of the total amount of weight, AND the distribution of that weight. Unfortunately, notwithstanding all of the commentary, discussion, agency guidance, etc., there are still some instructors who overweight students, through intention or incompetence. I wish that were not so, but it is. But, it is not accurate to make the broad generalization, that proper weighting ‘is not taught’ – it is. And, I seriously doubt that the problem of some instructors failing to teach it properly would be addressed by having divers, beginning with their initial training, dive without a BCD. The very same instructors would probably overweight them in that configuration as well.
The problem that I see in practice is not that the procedure for performing a proper weight check is not taught. Rather, the problem is that the procedure for performing a proper weight check, like too many other skills learned in OW training, is not practiced again after certification. So, the diver in the case referenced in the DAN publication may have required a considerable amount of weight during OW training – perhaps they were wearing a 5mm farmer john, with a 5mm shorty , and a hood, and gloves, and were using a floaty jacket BCD, and an AL80. (OK, even then 50 lbs is A LOT of weight.) But, perhaps they decided to use the same weight they required with such a configuration in OW training, when they were later diving in warm water, with just a rash guard, and a HP 100.
Where I very much agree with the OP – a weight check is entirely and completely specific for the particular configuration – the BCD, exposure suit, and cylinder. Yes, it is also specific for the regulator, but the amount that item contributes is minimal compared to the other three parameters. So, a competent diver will develop over time a chart of the weight required, for the various combinations of BCD, exposure suit, and cylinders that they may dive. For some, it is always the same. For others, it can vary. I have just such a chart developed over time. I can use the chart to determine what amount of weight I need for a wetsuit, be it 1mm, 3mm, or 5mm, or for one of my two drysuits, with a stainless steel backlplate and wing, or an AL backplate and wing, or for a jacket BCD, or a back-inflate BCD (Zeagle Ranger), using an AL 80, or a HP 100, or a HP 120. That table has taken a while (years) to create. And, it is periodically updated since I usually do weight checks, along with my students, at the beginning of every class I teach.
I do not believe that is is possible, if this procedure was followed and a proper weight check periodically performed, for a diver to be as (apparently) massively overweighted as the diver in the DAN case cited by the OP. The problem is not a matter using a BCD or not - a BCD has value in diving, under certain conditions. The problem is failure of initial instruction AND a failure to maintain skill currency.