It took a me a bit to understand what you posted but I think I understand. Please let me know if the following is correct:
The tank may itself be buoyant when empty but that does not mean it is material to the diver as a complete unit. What matters is the weight/mass of the air that is depleted from the tank....the weight/mass of the tank itself remains the same as at the beginning of the dive, the change is the weight/mass of the contents inside it and the impact of that on the diver as a unit.
-Z
Yes.
As I said, this is a common source of confusion for divers. When a diver gets into the water, he or she is a collection of a wide variety parts, each with its own buoyancy characteristics. Some of it is neutrally buoyant. Some of it is positively buoyant (wetsuits, body fat, etc.) Some of it is negatively buoyant (lean muscle mass, bone, etc.). If the total weight of the diver is less than that same volume of water, then the diver is positively buoyant, cannot sink, and must add an appropriate amount of lead, which adds little volume and lots of weight.
When the diver descends, the diver adds air to the BCD in order to increase the volume and become neutrally buoyant. As the dive progresses and air is removed from the tank, the diver becomes more buoyant because while the tank loses weight, it does not lose volume. The diver must decrease the volume of air in the BCD to compensate for this. It does not matter what the tank is made of. As it loses the weight of its air without changing volume, the diver must adjust the volume of the BCD to compensate.
When the diver is near the end of the dive and nearly all the air weight in the tank is eliminated, the diver should have very little air left in the BCD. There is no point in having more than necessary. Every excess pound of weight results in nearly a point of unnecessary air in the BCD.
A major factor in this discussion is the wetsuit. A very thick wetsuit compresses as the diver descends, greatly decreasing the diver's volume. That means the amount of lead needed to descend near the surface is no longer needed at depth. Thus, all people who wear heavy wetsuits MUST be overweighted at depth. Unfortunately, they cannot hand that weight off to someone and get it returned later, because most of it will be needed to prevent a runaway ascent in shallow water as the suit returns to its original volume. It is thus more difficult for a diver with a thick wetsuit to determine proper weighting. I once worked with a student who swore that he knew he absolutely, positively needed 22 pounds while wearing a 7mm wetsuit in fresh water with an AL 80. Four training dives later he was happily diving with 10 pounds.