The Supreme Court has stated that the single most important of the "fair use factors" is the economic impact on the copyrighted work - i.e. will the allegedly infringing work compete for marketshare? In the case of turnitin.com the answer is "definitely not". The copy is not displayed publicly (in my understanding), it is just uploaded for comparison to other works. I can't think of any argument that this has any financial impact on the author.
But what if I want to sell my papers to other students? The fact that turnitin.com is keeping a copy of my paper is going to significantly decrease the value of my paper right? Sounds like an economic impact to me..... (Yes, playing a bit of devil's advocate...)
If it has syntax, it isn't user friendly.