Reference on the authors' willingness to receive public, online feedback on their work
Here are two studies that appear to focus on this question:


Nariani, Rajiv, and Leila Fernandez. "Open access publishing: what authors want." College &amp; Research Libraries 73.2 (2012): 182-195.
Mulligan, Adrian, Louise Hall, and Ellen Raphael. "Peer review in a changing world: An international study measuring the attitudes of researchers." Journal of the American society for information science and technology 64.1 (2013): 132-161.


Both studies find a lot of ambivalence in current attitudes: in essence, one the one hand, it could be useful, on the other hand Don't Read The Comments.