Here is a generalized answer:
You don't want to all together completely stop acute inflammation, but you need to be able to control it. Yes, acute inflammation is the body's response to injury. Too much inflammation, swelling, etc does not allow the body to work optimally at healing the injured area (cells become hypoxic, increased pain causes perturbed motor patterns, etc).
Also, IMO, it also has to do with a pain issue as well. Increase inflammation = increased pain. Increase pain = decrease movement and ROM at that area/joint. Decreased movement and ROM = poorly aligned healed tissue fibers along with a host of other issues that perturb proper healing.
Again, this a very broad/generalized answer, but basically you want to CONTROL the inflammation at the area, but not completely eliminate it.