After having a chance to chat (at different times and in different conversations) with Sylvia and Lydia, I find this project very interesting. Being able to feed Wikidata with referenced data gathered periodically from the World Bank database sounds useful already, but I think we could take this initiative as a pilot for how to work with these types of organizations.
The point where we are today with organizations hosting open data is similar to our relationship with galleries, libraries, archives, and museums before GLAM or Wikipedians in residence existed. Many discussions, new precedents, tools, and processes were needed to reach the point where we at today in GLAM, and there is still so much to do, but everybody agrees that the effort is clearly worth.
Today we miss platform features, tools, and processes to visit (or receive the visit) of organizations with large open datasets, hook onto their APIs, and retrieve their interesting data. The World Bank is a potential good use case: they provide many numbers used in infoboxes of articles of countries which are updated manually in hundreds of Wikipedias (and in Wikidata), they are actively interested in collaborating, and the Wikimedia Foundation can contribute some of the "overhead" on partner relations and, if needed, project management. With time, and if this pilot progresses well, Sylvia's team and whoever wants to be involved could start knocking other doors. Who knows, maybe the first generation of Wikidata-scientists in residence are not that far off? :)