President Carter is not special in having a separate Wikipedia article with his awards. As a list in an article is rather boring it makes sense to have that separate article.
With distinguished people like Mr Carter, the list is long and it tells a story of recognition. Most but not all of the awards are already known in Wikidata but surprisingly the quality of the information is not always that great. It says: "International Mediation medal, American Arbitration Association, 1979" and it is hard to find anything on that medal except in this list. There is no doubt that Mr Carter received the medal, it is just that there is no other source available.
Both Mr Carter and the American Arbitration Association will be able to acknowledge the existence of the medal and, the AAA will be able to inform us about any and all organisations and people who were honoured in this way. For them it is one way to get extra mileage out of the PR that is so often the reason for an award.