The article you linked to, does not appear to debunk the thesis mentioned in TFA, namely, most academic papers are never read by anyone other than the author(s) and the reviewers.
The thesis in TFA is "82 percent of articles published in the humanities are not even cited once." This claim is unsourced, but it's the same form of claim that's debunked by the linked article (once you scroll past the stuff about spinach): "The main problem with the 45 percent figure is not that we have to work hard in order to find out where it comes from, nor that it is old and rather irrelevant for the situation in 2012. We have in fact stumbled across yet another academic urban legend."
I don't see how the article you linked is relevant to the question of whether or not most academic papers are widely read. That being said, the original article is poorly sourced and poorly written.
Scroll down to "An avalanche of low-quality research?".