As crazy as it sounds I think we owe some thanks to the people who misrepresent what the popes teach, at least I do because the wild claims send me back to the various encyclicals and invariably I find something new and profound.
Particularly in the case of the present pope, JPII (of happy memory) often confused me but BXVI writes in a style I can easily comprehend.
I would say it's the Holy Spirit in us who recognizes lies and misinterpretations rather then credit the people perpetrating these lies and misinterpretations