You are correct, I was incorrect in the available mass increasing.The mass of O2 is the same regardless of depth, assuming the same loop volume and PO2. While the total molecule count does increase at greater depth, the fraction of O2 decreases by the same proportion (since the same PO2 is present). As such, it wouldn't take longer. If anything, it could take a little less time, due simply to the choice of a diluent with lower O2 fraction (and less O2 added when restoring loop volume) on a deeper dive.
33ft , 2 atm, PO2 1.2 = 60%EAN
66ft, 3 atm , PO2 1.2 = 40% EAN
99ft 4 atm , PPO2 1.2 = 30%EAN
Assume 4L volume (O2 6.5 g/l )
@33ft 0.6*6.5*2= 7.8 g of O2
@66ft 0.4*6.5*3= 7.8 g of O2 0
@99 ft 0.3*6.5*4 = 7.8g og O2
But;
Assume you pass out @ a PPO2 of 0.10
33ft 2 atm PPO2 0.10 = 5%EAN
66ft 3 ATM PPO@ 0.10 = 3.3%EAN
99ft 4 atm PPO@ 0.10 = 2.5%EAN
So @ 33f, there is a 55% decrease in gas volume
@66ft ~37% decrease in gas volume
@99 ft 27.5% decrease in gas volume.
Keep in mind that the total volume goes down but you can only use the lungs, so the effect is exaggerated as far as what the diver feels.
example;
Total Lung volume = 4L
Total dead space volume (scrubber hoses ect.) = 2 L
Lets say you are using 3L of lung space
total actual volume = 5L
@33ft you loose 5L*0.55= 2.75L whic is 91% of your lung vol You lost almost yout total lung volume
@66ft you lose 5L*0.37 = 1.85L (61%) Lost almost 2/3 of lung volume
@99ft you loose 5L* 1.375 (45%) lost, almost half.
The ratio of dead space to lung space will vary from unit to unit but the example above assumes a pretty worst-case scenario. (dead space is unlikely to be as low as 2L )
So, 12 minutes and those decreases in lung volume still feel beyond noticeable enough to rule this out as something that would go unnoticed IMO.
I would agree that on much deeper dives the risk increases due to the lower volume decrease, but if you are on a deep dive and not looking at your PPO@ for more than 5 min, you are probably asking for trouble.