I agree with you 99.99% on post 19 and it's all good stuff if a person is willing to read and apply. Many feel that the air is what makes the note high and by doing weird lip exercises, situps and developing a six pack abs, they will have the power to force the air to stratosphereic heights. That's incorrect thinking. If memory serves me correctly, I think we're talking a sort of Bernolli(sp) Principle. While trumpet playing involves more than one thing, when it comes to higher or lower on the register, it's the size of the hole that makes the difference.
You stated:"There is no such thing as "fast air."
Here's what works for me. Trying to force the air via the abdomen muscles does not make me go higher in the register. The size I make the aperture pretty much determines that. However, a little force "just a smidgin'" and I can have a compressed sound in the upper register. Unfortunately, most trumpet players that dabble in the upper register use compression every time to play. As a result, they "think" that this is a fundimental part to getting into the upper register. As a result, they do situps and exercises for brute strength instead of the common exercises that we all know that are time tested to extend our range. This type of thinking while understandable, is flawed. Making the air go faster via compression creates a loud, sharp hot sound aka Maynard, Arturo, Doc. This is a wonderful sound in the right context and these guys know how to use both compressed and normal upper range work. There are people that play in the upper register and are not known for their compressed sound such as Alison Balsom and Rafael Mendez. Rest assured, they can do both too! So what have I learned? There are at least two ways to make notes in the upper register sound and neither way has to do with situps or the exercises described by the original poster.
Hope this helps