Campaign influence allows users to report on what campaigns have supported something. It shows who supports what or who. This is often used in terms of politics - phrased as someone supporting someone for office. Often, various companies and corporate accounts will also be responsible for political funding. This idea of campaign influence allows outside viewers to see what has happened to make an opportunity possible.
This information often has to be disclosed publicly. It’s a way of making sure that the public knows who supports what, and is often used as a way to keep companies in line. If they donate to the wrong cause and it is made public, there could be outcry and outrage. In some cases, if a person or company donates enough, the entire campaign can change course to follow their ideology.