We finally have our Little Dragon supplying beautiful aircrete. Turns out the issue was the water quality. We were using well water which for whatever reason was reacting with the foaming agent (seventh generation soap) and causing a reaction which collapsed the bubbles.
I went to our co-op and filled up a 5-gallon jug with their reverse osmosis water station and voila! The collapsing weak aircrete we had known from previous testing became an entirely different material altogether, thick, viscous, holding its shape. Beautiful. Just like the videos.
I would like to mention that I had a hard time finding any information regarding water quality and its effect on aircrete. I think that this should be mentioned on the front page of the little dragon, it took us a few months of testing to overcome this obstacle and it would be nice to save others the trouble!