In the comments of a recent mathematics-without-apologies blog post[1], there was a back-and-forth between Jacob Lurie and Urs Schreiber (the author of the OP article on nLab). I've been trying to parse the material on nLab for years, good to know I'm not the only one who seems to have trouble with it. A refreshingly blunt discussion, not to be missed!
1. https://mathematicswithoutapologies.wordpress.com/2015/05/13...