Nadine,
I've done some research on cryo treatment. It is used by people in all sorts of fields.
Musical instruments, guitar strings, golf balls, rifle barrels, gears, you name it.
The problem I found was that there seems to be no hard science behind any of this. I couldn't find any before and after specifications for anything treated by cryo.
See if you can find any real engineering papers on cryo. See if you can find NASA or the aerospace industry using cryo.
There are many claims but little science.
Brake rotors are one component that seems to be most generally agreed to benefit from cryo. The claim is that it reduces friction and makes the rotors last longer. Of course, you want friction in a brake rotor so I'm not sure what's really going on.
And if you believe it's good to treat the rotors, they will then tell you that the pads need treatment too.
Anyway, do the science and make your own decision. There are quite a few big race teams that will swear by cryo. Lots of people believe in it.
If it's good for rifle barrels, trombones and golf balls, perhaps it will help your tranny.