What point are you arguing against? "I feel it's often used" says nothing about relative frequency. And "there are positive anonymous posts" is a stupid response to:

I know we probably wont get rid of Anonymous Monk altogether but it would be great if we could address some of the issues I think a number of us have with it.

So, taking this example specifically, I really wouldn't feel much loss if a change in site policy had somehow prevented it from being posted. :)