We (or most of us) don't normally use more air in high register.
We may run faster out of air up there, but that doesn't necessarily mean that we use more of it.
I hope that makes sense...
I know what you are stating, but I don't think you understand his concept. If I do, then it's bumping the note up with a small shot of air - kinda like giving a car a little momentary surge of gas to make the transmission change gears.