Good pints Colin- I agree that a balance between contact time and water flow is important.
Quick note- if the Beckett skimmers available in your area are "very noisy" then they are not well made. A well designed Beckett is not silent, but is certainly no louder than the pump that runs it. I ran one for a while on a Sequence 3600, which is a very quite pump, and I could not hear the Beckett injector unless I put my ear right next to it.
As for "very expensive and powerful" pumps, I don't feel they are much worse- The Sequence 3600 is 160 watts. Not bad for a pump that runs 600+ GPH though a Beckett. Granted it is more than a single Eheim, but perhaps not more than a four pump Needle wheel, which is about the area it could be considered equivalent.
The air-stone idea is neat- I'd like to see what kind of air flow rates you can get. Hook it up to the 5hp compressor, and see what it takes to blow the top off of the skimmer.
I still believe that the "whirling" idea is a bunch of bunk.
There is a fixed amount of water going in and out of the skimmer. If it is whirling, it is merely moving faster, it is not taking "longer" to exit the skimmer. If any portion of the water took "longer" then an equal portion must exit the skimmer faster, or it would overflow the neck.
Swirling is not at all the same as adding a taller or wider tube.
Some manufacturers just don't do physics well.
As you mention, spinning the water fast causes the bubbles to congregate on the inside of the vortex- Simple centrifugal force forces the heavy water to the outside, which collects the bubbles on the inside. You can see the effect in some of the cheap vortex skimmers available. I've often considered using that effect to make a bubble extractor for overflow returns, but have not come up with a workable plan yet.
Nikki- I would not worry about it too much. In reality you are only getting a few percent of water that recirculates though the skimmer more than once. And hey, aren't we all talking about skimmer designs that recirculates being cool?
Zeph