As I have always said, MBTI sucks, so I won't defend that system, but it is addressing a very existent pattern. The problem with MBTI is that it is just not looking at the whole picture, it sees only a very small and superficial scope of that pattern. Once you get a much more zoomed out look at how it all connects, then it will all come together, there will be no more paradoxes.
Are you considering what you "do" MBTI, or something else? Assuming the latter, what do you call this? Cognitive functions? Jungian personality theory?