Hiding the poster's name comes at a cost. The cost is that some of us, when looking at a thread that has grown long by the time we see it, skim quickly, and look first at people we know by reputation, to see if they've posted righteous solutions. It's a shortcut to find out if I have any value to add to the thread.
I hardly think this "anonymous downvoting" problem is so serious as to start giving up functionality.