The issue is that he, through his own website established to clear up rumors, presented a forgery of an official document as if it were a real document. That is a lie, even if the facts of his birth printed on the document are true. It is a lie, and such forgeries of official documents are often a criminal action.
I doubt that it a forgery, however. I think the old saying “never assign to conspiracy, misdeed or malintent that which can be caused by simple human stupidity” is operative here.
First, there is no “superiority of provenance” here. There is nothing to say one specific document is correct while another is a forgery. The inconsistencies may be from forgery, but are much more likely to be caused by a different color scan of the docs when posted on the net, whether or not ink bled through, different wordings used at different times, etc.
Regarding the wordings, remember that this is not an original filed document, but simply a “report” of what the original filed document said. The fact that they used the word “African” 47 years is certainly understandable. I once saw an industrial accident report written about a Negro by an redneck in 1962. The part of body injured was listed as “left hind foot” by the redneck trying to be funny.
The reason I don't think this is an issue is that, in races for the Senate or President, campaigns spend hundreds of thousands of dollars on what is politely called “opposition research.” They look at everything a candidate ever did, talking with as many people as they can find, etc. It's more in depth that a Yankee White or Keyhole-Talent level investigation.
There are so many records that can confirm his birth, hospital, doctors, possibly an ambulance run, post-natal immunization records, newspaper announcements of the birth, etc. Many have consecutive numbers which is nearly impossible to beat. Since there have been questions, the other canddiates and reporters would be all over everything here. They would have talked to doctors and nurses, (some are certainly still alive) neighbors who remember when the baby was brought home, seen pictures with Mom and her parents and days-old BHO.
If there was anything to this, The Hillary campaign would have used it to drive him out of the race long before Iowa.
Be well