And there are also rumors of no links whatsoever: http://www.ncbi.nlm.nih.gov/pubmed/18615352
Well, the overwhelming majorities of publications see a link, the fact that some see none IMHO shows the limited usefulness of those epidemiological studies way too many parameters to be close to a controlled experience...
The author of that paper your linked, Uffe Ravnskov (http://en.wikipedia.org/wiki/Uffe_Ravnskov) seems to be part of a small minority holding this belief.
Well, there are "rumors" of links between eating too much fat and cardiovascular diseases, and he was abusing butter as of late...