You could look at it like that.Since this is a system, you can isolate parts to focus on them, but remember, everything is happening at once and everything is dependent on everything else. This is every single socionics concept ever thought up in a single diagram. It is like a Rosetta stone because it shows how to translate one idea into another. Which specific part or property you want to use it up to you.
Great stuff! I love this kind of mathematical analysis. I assume the 16th "null dichotomy" is need in order to match the power set of the original Jungian dichotomies. I'd love to see a more elegant way of describing it though.
I wouldn't quite go that far. For example, when it comes to kindred, look-alike, semi-duality and mirage relations, we don't classify them by traits but rather by functional equivalence in Model A.
You don't know how happy it makes me to find a kindred spirit.
Even those relations can be represented with dichotomies if rationality is taken into account (the dichotomies that describe a rational kindred pair is the same the describe an irrational business pair, ect). The only thing off the top of my head that cannot be represented as dichotomies is information flow.
In general, I think that dichotomies are complementary to a model. Even if intertype relationships can be understood with dichotomies, the information element projection in model A is much more useful.