I think you are correct. It’s all about relative density of you & your dive gears combined with the media you are in (freshwater or seawater or air). If you want to be neutral, then your total density needs to be more or less equal to the media. So for freshwater, you & your gear combined density needs to equal to 1 kg/L or 62.4 lb/cf.
After a dive with single AL80, you will lose about 4-5lbs of air that you exhale off your tank. So, in order to be neutral during a safety stop, you want to be sure to have 4-5lbs heavier in your gear to start with + a little puff of air added to your BCD. As you empty the tank, you will also need to release some air out of BCD to maintain that density of 1 kg/L. So, it doesn’t matter where you put the weight in your gear, whether in your integrated weight BCD pouch or weight belt or higher density stainless steel tank, instead of AL80. Archimedes Principle, High School Physics.