Air is always needed to create an a turbulent air/water interface; this gets carbon from the CO2 in the air to the algae the fastest. On a waterfall, the air is about 3 mm away, and on an upflow it's about zero.
Rant warning.
Here we go again with the water-air-water thing caused by a bubble passing through algae. Sorry, IMHO this is the exception to the rule.
An algae strand moves out of the way of a passing air bubble. It doesn't pierce it allowing the algae to get exposed to the air inside the bubble. The bubble's surface tension would not allow this. Or should I say, I do not believe the bubble's surface tension would allow this. That makes my statement more opinion that fact, as I can't unequivocally state that this is indeed a fact all of the time.
IMHO. It makes much more sense logically that the reason that a UAS grows algae much faster than the same algae in another area of the same system (rock, substrate, etc) is due to the random action of the water itself as the bubble passes through it and that algae that is submersed in it. This is related to creating high levels of motion at the boundary layer, which is where the nutrient exchange happens. This is also where the gas exchange happens. On a microscopic level.
The boundary layer is broken down in a UAS by way of the water motion created by the bubble passing through a submersed mat of algae.
The boundary layer is broken down in a waterfall scrubber by way of a thin laminar sheet of water passing at free-fall speed through the algae.
CO2 and O2 are dissolved in the water and exchanged at the boundary layer. Bubbles passing through water are (probably) more likely to cause the air in the bubble to dissolve into the water than they are to let a strand of algae into it's interior. Direct exposure to open air is actually more likely to happen from a free-hanging vertical waterfall scrubber as the algae grows thicker than it is to get it from a passing bubble.
Try to split a bubble in two with a razor blade. The majority of the time, the bubble moves around the razor blade. The only time it splits it is when the bubble lines up top dead center with the sharp edge of the blade, and then the bubble splits into 2. Of course, this depends on the bubble size so let's say it's the size generated by a UAS or airstone - let's say pea size. So you're saying that a strand of algae is just as likely as a razor blade to rip through the surface tension of a bubble. Ok.
Told you it was a rant. I'm tired of that theory.