I think of Academia.edu as a similar site to facebook and would not weigh it in any decisions unless the candidate was behaving inappropriately on the site in a public way.
This reminds me: a couple nights ago I checked in on someone I went to grad school with. On the top of his Facebook profile he's now listed as a "Professor at School I Never Heard Of." So, I googled SINHO and searched for him on their site. Eventually I pieced together that he is an industry post-doc in the city he used to live in, went to SINHO for undergrad and is now teaching a class there (adjuncting). Not what I would call "Professor at SINHO."
Just thought that was a similar thing to what the OP seemed to encounter.