“Soft power” refers usually to credibility. The point of the Factbook is to be a credible public resource for an entity that would otherwise not have much.
In International Relations, my #1 or #2 hobby, credibility does not refer to soft power. (my number 1 hobby is philosophy)
Credibility is not what soft power means, though they are related. Power is the ability to get other people to act in your interest. Hard power is when that is done through immediate, direct economic or military coercion. Soft power is everything else.