(Refer to post 1 and 3)
Fun post, and great discussion topic. Although I am reading it 1 year later, thanks Aven!
My thoughts: Finally, someone who realizes why these debates exists. Pick your favorite: Abortion, Gay marriage, whatever. The debates are often about two groups talking past each other from different starting points and with different schools of though. Aven has captured some relevant details of this concept, albeit in abstract form, and put it out there for all to see.
Mostly, SideA will evaluate SideB using SideA's criteria for quality of arguments. Unfortunately, what we don't have is a set of "golden" criteria to settle the debate with a score for each side. (Forgive me, Aven, for "colloquializing" your post).
To me, this is why the debate is unresolvable.