It's essentially a list of all places outside the home where most people assemble - for work, commerce, recreation, etc. So, according to them, the only place you can have a gun anyway is inside your home.
This is what concerns me. For example, Georgia used to have a law prohibiting carry at "public gatherings." What's a public gathering? Pretty much anything an official decides it is.
That could be a restaurant, sporting event, political rally, or just three of us talking on the street. The dissenting opinion seems to have gotten that idea. By calling a place "sensitive" under the Heller
dicta, you could ban carry quite easily and still keep the mantle of respecting the Constitution.
Keep a close eye out for rhetoric along those lines.