Cryo treatment is for stress relief. This is more so effecting the machining process from what I seemed to understand, and has the benefit of making the grains or microstructure more uniform.
Nitriding is just a surface treatment that helps with wear. These are two different things that are not interchangeable.
If anyone is interested, nitriding is its own thread topic by itself. There's different processes, and honestly, I shoot in pro circles, and I'm not aware of anyone notable putting nitride and precision shooting together.
I would do research on each process and ask the person who's doing it how they do it before committing to buying.
In any case, despite the advertised wear resistance, what nitriding does NOT help with is micro cracking in the throat.