curious.............I was part of the great freeze off with TPIN some ten years ago. The effects were minimal at best.
According to Dr. Moore (physicist and editor of the Science Desk of the ITG Journal), the cryo treatment just might have some effect on a trumpet if it were made from ferrous metals. However, it is apparently well known metallurgy theory that this process has no affect on brass. However, it might affect the SOLDER. Moore said it could be like "pre-aging your horn." It seems that a horn with big thick solder joints might be affected. However, in most cases, it really won't do much for a trumpet.
The TPIN test was a double blind. It was almost impossible to tell much difference in most of the horns compared to the placebo. However, I did pick a Blackburn as having been frozen, and it was. It was a heavy axe, and, if memory serves, had ample solder joints.
Knowing what I know now, I wouldn't spend for it. The mouthpiece you pick will hav e much more impact on the way the horn feels.
Just my $.02 worth.
would tossing your axe in the deep freezer save you time and money. lol