Why limit this to P's? Why not have counter judging J's? Counter introverted Is? Etc. People of all types can display traits associated with the opposite type preference for various reasons.
Meet Elfboy, a Counter Extrovert E + Counter Feeling F + Counter Perceptive P, he is the most interesting man in the world!
A man builds. A parasite asks 'Where is my share?'
A man creates. A parasite says, 'What will the neighbors think?'
A man invents. A parasite says, 'Watch out, or you might tread on the toes of God... '