There are many unsubstantiated claims for cryogenic treatments of all kinds of things including improved tonal qualities in musical instruments any of which may or may not be true or subjective. The user must use their judgement.
On the other hand, some alloy steels definitely are affected by cooling below the Mf (Martensite finish)temperature as a continuation of the quenching process from the austenitizing temperature during heat treatment since those affected alloys have an Mf below room temperature. More Martensite is achieved by transforming metastable Austenite when cooled below the Mf. More Martensite gives higher hardness and this would seem to be a desirable thing for brakes.
What alloy are the subject brake components made of or are you referring to the no-metallic brake components?
If it is Alloy Steel you are talking about and if it has an Mf below room temperature, then any certified heat treater will know the certified cryogenic process.
If it is the non-metallic component(s), good luck. I cannot imagine FAA approving such a thing without a vast body of empirical data substantiating the validity of test results. Jesus is THE life,
Leonard