I suspect this guy is wishful thinking about a system that is far more complicated than his pay grade.
Inflammation is not simple. It is incredibly complex. And when it is properly working it does its job well. However, it has a nagging problem of running wild, and reinforcing itself to make a small problem a big one.
As a complex process, inflammation controls almost every aspect of stem cell tissue replacement from start to finish.
One major drawback of his no-ice theory might be that it could result in long term damage. Without ice, for example, your knee might work faster, but down the road be far more inclined to developing arthritis. Or not. We don’t know.
A few days ago, I waded into a lake that had held heavy ice until 2 weeks ago. I've always found that cooling my arthritic knee keeps it happy for many hours. Plus, I was put on an ice-pack regimen for a shoulder injury, and a sore back by a neighbor-nurse from a pain center.