I dislike BoingBoing’s headline on this. The study looks good – but doesn’t answer the main use that analgesics are for: does it reduce pain? They are NOT generally intended to reduce or improve healing, but to reduce the pain until the healing has happened.
So, I see this study as: drug doesn’t do something we don’t expect the drug to do.
And, I think BB’s headline mis-states the results, by generalizing from the specific question answered (healing time) to a general “no better”. The study does not say this in the general case.