Unless you are overweight in the water, there is no reason to add air to the BC
This IS the fundamental problem, but also the reason why you will always have the opportunity to add air to the BC as opposed to the suit.
EVERY properly weighted drysuit diver starts their dive relatively overweighted. Proper weighting of a drysuit is to be neutral with empty tanks at the depth of your last stop on the way to the surface. This strategy doesn't really change, even in tech diving, although there may be specific reasons to modify this 'rule' and sometimes, like when diving a rebreather with multiple stage and bailout tanks, is essentially impossible to implement due to the implicit ballast resulting from a gas supply that you won't breathe down during your dive. The reason every diver starts relatively overweighted is because proper weight is determined by the end state of our dive, not the beginning when our tanks are full. The weight of our starting breathing gas determines the degree to which we are overweight at the start of our dive. It also means that we remain relatively overweighted until near the end of our dive, so we have to manage any resulting problems from this the majority of the time we spend under water.
As opposed to free diving, weighting in scuba is a dynamic process. That's why divers use a bc in the first place. Buoyancy needs to be added somewhere to offset the weight of your starting breathing gas, and that excess gas needs to be dumped incrementally during the dive as your gas supply is consumed. The question becomes, then, where the best place is to store that gas supply dedicated to maintaining neutral buoyancy.
There are 3 options for this, which can be used in combination with each other: your lungs, your suit, or your bc. There are advantages and disadvantages to each.
As you pointed out, the weight shift from an aluminum 80 can be managed using your lungs alone. Although this is possible to do within the vital capacity of many divers, the comfort level in doing this varies significantly from diver to diver, especially with longer run times. This can lead to shallow breathing and co2 accumulation and/or poor SAC rates, so I would recommend against this as a solo method of buoyancy control in a drysuit.
The suit itself is a great place to stick some extra air, but this also comes with a downside. The advantage, of course, is that you can leave the wing fully emptied, and you now only have 1 airspace to manage. The downside is where that extra air must go, and the larger space that air has to move and expand in your suit versus your bc. In the case of a deflated wing and a negative starting tank, your tank will be pressed against your back. Since air has a tendency to rise to the highest point available in an air space, that means that the bulk of the air will need to go around your shoulders or into your legs, as the space under your tank on your back is physically compressed. Neither of these places is preferable, especially when changes in depth are involved. The reason why is that these are the 2 farthest points away from your center of balance while horizontal, so a relative change in buoyancy between these areas can result in changes to your horizontal trim. Also, having excess air in these areas have other more specific problems. At the shoulders, this increases your profile, which increases drag - from your other posts, this appears to be something you are familiar with. As the gas volumes carried increase, the drag from the excess gas in the suit to offset this weight increases significantly, to the point that it is quite obvious to a diver. Just because you aren't carrying enough gas to make this readily apparent doesn't mean the effect isn't there, it's just less obvious to you. The air in the legs isn't as much of a problem for drag, but it does become problematic while ascending, as there is no gas outlet on your lower body, increasing the risk of a feet first uncontrolled ascent.
Let's consider the bc, then, as a place to put gas. For starters, it's an area that divers are already used to using, so it's not a foreign or new concept. Second, it's a much smaller airspace, with a limited capacity for expansion, that is located closer to the center of balance on a horizontally oriented diver. Finally, it's very difficult to accidentally dump air out of your bc, as opposed to the shoulder dump on a drysuit that is over inflated, particularly when excess gas tends to hang around the shoulders, as I described above. The location and profile of the wing also tends to minimize the associated drag of air carried here, which is also beneficial.
As a sidebar here, I would argue that the buoyancy capacity of many bc systems marketed to recreational divers are significantly larger than they need to be, which can result in some inefficiency here. This is a gear problem that can be remedied by using a plate and wing configuration that utilizes an appropriately sized wing. Many people are pleasantly surprised when they see how small of a wing is really needed for single tank diving. If you're not sure how to figure this out, may I suggest contacting the folks at Deep Sea Supply. While they are clearly not the only folks making bc wings, they do make excellent gear at a reasonable price, and more importantly, they are willing to talk your ear off regarding how to optimize a balanced rig. Honestly, it might be worth a call just for the educational value. Oh, and for the record, I have no financial interests in DSS, I just appreciate the quality of their gear, the value of their customer support, and the quality of their advice. The owner is also an active contributor on this board.
So back to our discussion. You had said that with tech diving comes increased risk, and training to mitigate those risks. You also said you're a proponent of the KISS philosophy. As it turns out, so am I. I do believe that adding gear to a dive plan increases complexity, so even though you don't need to be doing technical diving to enjoy the benefits of wearing a drysuit, you are accepting the increased complications and associated risks of using that equipment. This holds true for drysuits, which is why training is available for their use.
You seem to indicate that using both the BC and the suit in tandem to control buoyancy is somehow more dangerous than using the suit alone, but I feel this is misleading. As I have already pointed out, having excess air somewhere on your person is a requirement when offsetting the weight of your breathing gas. If you are storing it in your suit alone, it has a much larger capacity to offset your trim or to expand to a much larger capacity than it would in an appropriately sized bc. That is where the danger comes from, especially since new drysuit divers are most likely to get into trouble due to expanding air in the legs and feet that needs to be redistributed to vent. The challenges of dumping gas from a wing and drysuit at the same time are minimal at best, considering that your inflator hose and air dump on your suit are both located around the left shoulder... That's why they are built this way! I also think the challenges of doing this are more mental than physical. Implying that new drysuit divers can't manage this is as laughable as the idea that it's impossible to teach new divers how to dive in neutral trim. You can naysay all you want, but when divers learn to do something right from the beginning, it's awfully easy for them to pick it up.
My whole reason for posting my initial response to this thread is that old divers have harder to break habits than new divers, since they have had a chance to build muscle memory for their chosen technique. Once habits are established, it takes some work to undo them. My whole point, from the beginning, has been that only one of these methods presented above will end up being problematic if you advance in your diving. So if it really doesn't matter either way to you, you might as well learn and practice the methods that will continue to serve you well, no matter where your diving takes you.