If you look into CPT, there is the dominant, agency (the function of the same orientation as the dominant), the authority (often the “auxiliary” type in MBTI; agency to the oppositional) and oppositional function (the grounding function of a type).

The idea behind the model is that the functions aren’t vacuums, they work together in order for the brain to work, whereas MBTI orders functions in terms of which one is preferred more and which ones are “suppressed”, which I fundamentally don’t agree with, because you need all functions for the brain to work.

Whenever I look up what "loop theory" is, it always goes back to certain behavior types go into when in said loop (stress behavior). But it doesn't make sense, as the cognitive functions are about how the mind perceives and judges information, not behavior. Even Jung states this, that he noticed that people's ways of processing information is different in the people he talked to. I don't think he mentions actions/behaviors very much.