This is a nice catalog of some common forms of disagreement, but I'm not convinced that this set of six is exhaustive, nor am I convinced that if other forms are added that the set will remain well-ordered.
I agree that it's nowhere near exhaustive, most obviously because it doesn't address the ways that writers try to directly deceive the audience (appeals to flattery, conservatism, etc). I remember being part of an Academic Games league in high school. One of my favorite games was simply called "Propaganda." Everyone sat in a big room, listened to arguments, and identified the type of rhetorical technique being used.…
Actually, one of my long time favorite such sites is: