Surprising that this fact is being often overlooked in this thread. If you're in a multi-day golf tournament for example, an ice bath for immediate recovery and lack of hypertrophy is exactly what you want.
I think it hinders recovery too though, inflammation has a function, which is why we don't just systematically administer high dose anti-inflammatories for every infection, only when it's too risky to leave the natural process handle it, or when the inflammatory response is pathological (e.g. COVID cytokine storm).
They do sometimes - like when they're trying to gain strength. At other times, recovery is more important than growing stronger (like during a tournament).
