I believe the parafins are the straight chain hydrocarbons. From back in my Petroleum Engineering chemistry classes, I learned that the parafin crudes made better lubricating oils. And since the appalachian crudes were parafit based, the best lubricating oils were those made there - Pennzoil, Kendall, Amalie, Quaker State, Valvoleen, Wolfs Head, etc.
I wonder why the aromatic rings would lubricate better in diesel fuel? I wish I knew more about the formulation of diesel fuel oils, but we never really got into that.