The main thing Politifact is debating is the context of "scholarship". I t even says that West point has used "full scholarship" before in its literature.
https://www.newsmax.com/Newsfront/politico-carson-cnn-key/2015/11/07/id/701045/
Politico also went back and changed parts of their article. Such as the title. It was clearly a hit piece.
At best, and what I believe, is that it points to Carson's inexperience (something I hit Obama on originally, applies even more to Carson) and poor choice of wording.
I see this as a two fold problem. Certain news agencies, not all, are clearly biased and have a vested interest in attacking Carson as a black conservative who is successful (exactly like Fox News does to leading liberals). Part of it is simply dumb words, quotes and theories on Carson's part. Like his theory about the pyramids being grain silos.
If these sources wanted credibility they would go at Carson on his lack of policy on important issue and his lack of experience. There is plenty of fodder there.
Instead they go after the wording of a 30 year old west point claim.