novadiver:
At 6 ata (6 x 33=198 ) ( 198 - 33=165 fsw) ( 6 x 14.7= 88.2 lbs psi) that's a whole lot of water pushing down . now lets take into account that the air in the bladder is now 1/6 the volume it was on the surface, and my guess would be - the diver needs more lift to stay neutral.
I could be wrong,but that doesn't happen often
I think its in how you're trying to phrase your answer: yes, if we descend, the air in a BC will produce less lift if we don't add more air to a BC as it compressed with depth...but that's because the air occupies less volume, not because water becomes denser with depth.
IMO, the intended question was to ask if a BC that produces "55lbs" of lift when full at the surface, will or will not continue to provide "55lbs" of lift when full at some depth?
First, we know that 1 cubic foot of seawater's roughly 64lbs (mass), and while water isn't technically incompressible, its close enough to for us to ignore depth as a factor here.
Next, we know that a "55 lb" wing basically means that it displaces 55lbs worth of water, or 55/64ths of a cubic foot of seawater.
Since we use air to displace the water, we have to take into account the mass of the air being used. 1 cubic foot of air @ STP weighs ~0.081 lbs, so technically a "55lb" wing would need to actually displace 55.081lbs of water (55.081 - 0.081 = 55.000 lbs) at the surface in order to account for the mass of the air.
If we now take this "55.081lb" BC down to 6 ATM, it takes roughly ~6x more air mass to fill it because we're at 6x the pressure. So instead of needing 0.081lbs of air, we need 6x that: ~0.486 lbs.
And the 55.081 lb BC @ 1 ATM would provide (55.081 - 0.486 =) ~54.6 lbs of lift @ 6 ATM.
This is roughly a half pound reduction in lift: a ~1% reduction. We should be able to ignore this decrease because we would have built in a larger safety margin than this...plus many BC manufacturers' actual lift capabilities don't match their claimed performace this closely to begin with.
So the answer is that its close enough to being unchanged to consider it unchanged. The bigger question IMO is to verify that a BC actually provides the amount of lift that the manufacturer claims.
-hh