Bear with me here, because I'm not tech certified. But I did a quick estimate of "the weight of the gas" for someone rigged for a rather deep (60-100m) dive. I'd guess that over here, that'd mean at least a twin 12x232 set (and maybe even a larger twinset than D12), at least one Al80 stage and at least one tank of deco gas. Just for the exercise, I'm assuming one Al40 with deco gas.
A twin 12x232, one Al80 and one Al40 is some 11+ kg (~25 lbs) of gas. If that diver is neutral with near-empty tanks, they'll be around 11kg/25lbs overweighted at the start of the dive. How is it possible to do a dive like that in a balanced rig as you're defining it here? I'm pretty certain I'd have some issues swimming up if I were 11kg/25lbs overweighted.
So I'd appreciate some help solving that riddle.