Care to post any citations for that? Because it doesn't match what I know about how muscles work.

I've never heard of muscles breaking down proteins, nor have I ever heard of proteins causing liver damage (that doesn't make any sense).

Muscles do release lactic acid, which will eventually cause enough pain to make you stop, but I never heard of any serious damage caused from it. And this cooling method won't prevent that feedback.

It's obviously possible to inure a muscle, but it will hurt, and this cooling method won't affect that.