This has been asked and debated many times before, whether one should use anti-inflammatories or not early in wound healing, I personally advocated against using them in the first few days post wounding because as I have stated, I don't know what the role would be and that it could interfere with the healing process. A study posted by a user here a while back (shivers20) got me intrigued and I dig a little bit of digging into the matter...
http://www.triomeetingposters.org/wp-content/uploads/2009/05/115.pdf
The study above was trying to achieve scarless wound healing and they used nimesulide a strong anti-inflammatory agent (cox 2 inhibitor) along with PGE2.
Here is a good review about some studies hitting at this:
http://regenerationinnature.wordpress.com/tag/collagen/
The first study confirmed these claims by using a cox 2 inhibitor
In most mammals including humans it seems we have very little regeneration ability, here is the difference between tissue repair and tissue regeneration:
So what does that all mean for using an anti-inflammatory? If it reduces fibrosis and promotes scareless wound healing, it seems to be a good thing, but the remaining question is then, do anti-inflammatories inhibit production of growth factors necessary for hair growth? I have no idea, yet...
http://bloodjournal.hematologylibrary.org/content/121/13/2381
The question then becomes whether the beneficial growth factors for our hair are only released during the inflammatory phase... Like I said, I ain't got a clue
... even these researchers don't seem to have a consensus on general wound healing mechanisms...Just some food for thought...