Not really. It's more complex that that. You can often switch to a steel tank that is the same weight or lighted than the aluminium tank you had and still remove lead from your belt. It's not about weight, it's about density.
From a physics point of view, this is certainly correct, and I of course ultimately defer to Walter's guru status!
However, I think that we are making two different points - one about switching between tanks, and one about buoyancy changes during a dive. And using "weight" when describing a tank instead of "buoyancy" is confusing terminology... I may have caused that problem in my last post, but I was discussing change in total "underwater weight" (buoyancy) between the start and the end of the dife.
To clarify this important issue, here are some numbers taken from some
published specs.
A high pressure steel 80 weighs (on land) about 32 lbs, and is -7 lbs empty buoyancy. A low pressure steel 80 weighs close to 30 lbs, but is physically much larger, displacing more water (due to lesser mean density - it has the same amount of steel, but the steel goes into making it taller instead of having thick walls). Therefore it is -2 lbs empty buoyancy. An aluminum 80 is larger still, but about the same weight, and is +4 empty. So even though all three tanks weigh pretty much the same on land, they have different displacements due to their different densities.
The underwater "weight" (buoyancy) is the weight of the tank minus the weight of the water it displaces. So you can make any object more buoyant by either making it lighter (e.g. removing lead), or by making it larger (e.g. an ocean liner, which displaces enough water to compensate for it's weight).
But getting back to Walter' point, using a denser steel tank will give you more negative buoyancy (both at the start and the end of the dive), and
therefore you will need less weight on the belt (i.e. some of your needed negative buoyancy is displaced from the belt to the tank.
So to determine whether you need to add weight when you switch to a significantly
lighter steel tank, you need to know more than just the weight. If the lighter tank is the same physical size (e.g. thin walls), then the buoyancy would be more and you would need to add weight.
I think in practical terms, the reason that steel tanks are used to displace weight from the belt is that people use tanks that are much less buoyant than the average aluminum tank. For example, I own a high pressure steel 120 which is very heavy on land (48 lbs), and -7 lbs empty. Note that this is the same -7 lbs as the much lighter HP steel 80. Why? Because it is larger, and displaces more water than the 80, otherwise it would be even less buoyant. But both the steel 80 and the steel 120 allow me to take 11 lbs off my weight pockets as compared to an aluminum 80 (-7 vs. +4).
And as to the first questions, the weight difference due to air consumed would determine the
change in buoyancy between the start and the beginning of the dive for any given setup....