Correct. The Seeking Alpha article says "Recall too that John Paulson, whose fund holds Fannie common is a part of Trump's transition team" but that is not anything even approaching proof. Instead it is a misconception, likely based on the idea that Seeking Alpha sometimes auto-inserts the ticker FNMA when it detects the first instance of "Fannie Mae" in an article, similarly with FMCC and "Freddie Mac".
In the past some posters here have made erroneous claims that big investors owned commons when in fact it wasn't true. Even Seeking Alpha gets this wrong sometimes so it can't be used as proof.