Yup, a lot of people tend to refer to any non-zero-sum game as a "prisoners' dilemma", which is frequently wrong, so it's good to point out that that's not correct. This taxonomy is perhaps doing a little too much; I think that most of the time you really just need Prisoners' Dilemma, Stag Hunt, and Chicken (anti-coordination) as your three main examples for comparing other things to...