And this on another page regarding "shadow functions"Orientation of the tertiary function
Jung theorized that the dominant function acts alone in its preferred world: exterior for the extraverts, and interior for the introverts. The remaining three functions, he suggested, operate together in the opposite world. If the dominant cognitive function is introverted, the other functions are extraverted, and vice versa. The MBTI Manual summarizes references in Jung's work to the balance in psychological type as follows:
There are several references in Jung's writing to the three remaining functions having an opposite attitudinal character. For example, in writing about introverts with thinking dominant…Jung commented that the counterbalancing functions have an extraverted character.:29
However, many MBTI practitioners hold that the tertiary function is oriented in the same direction as the dominant function. Using the INTP type as an example, the orientation would be as follows:
Dominant introverted thinking
Auxiliary extraverted intuition
Tertiary introverted sensing
Inferior extraverted feeling
From a theoretical perspective, noted psychologist H.J. Eysenck calls the MBTI a moderately successful quantification of Jung's original principles as outlined in Psychological Types. However, both models remain theory, with no controlled scientific studies supporting either Jung's original concept of type or the Myers-Briggs variation.
Jung began writing Psychological Types nearly 100 years ago. It is a great work and speaks to his genius in discovering cognitive functions that have stood the test of time, practice, and research by other social scientists. He opened the door into mind for us and gave the construct of archetypes of the psyche.Myers interpreted Jung as saying that the auxiliary, tertiary, and inferior functions are always in the opposite attitude of the dominant. In support of Myers' (and/or Briggs') interpretation, in one sentence Jung seems to state that the three inferior functions of an (extreme) extravert are introverted. The "most differentiated function is always employed in an extraverted way, whereas the inferior functions are introverted" (Jung,  1971:par. 575).
Many, however, have found Jung's writing to be ambiguous, and those who study and follow Jung's theories (Jungians) are typically adamant that Myers is incorrect. Jungians interpret Jung as explicitly stating that the tertiary function is actually in the same attitude as the dominant, providing balance. More recently, typologists such as John Beebe and Linda Berens have introduced theoretical systems in which all people possess eight functions -- equivalent to the four functions as defined by Jung and Myers but in each of the two possible attitudes -- with the four in the opposite attitude to that measured known as the "shadow functions," residing largely in the unconscious.
There is controversy even within the Center for Applications of Psychological Type (CAPT), co-founded by Myers, regarding the attitude of the tertiary relative to the dominant. "The MBTI Qualifying Program," a binder given out during official training, puts the tertiary in the opposite attitude to the dominant on page 13; however, "The Manual," which gives official instructions on how to use the test, has the tertiary in the same attitude on page 31. Dr. Charles Martin , ex-Vice President of research at CAPT, writes the following on page 22 of the binder, "In what attitude is the tertiary? Isabel Myers read Jung to say that the auxiliary, tertiary, and inferior are all in the same attitude and opposite the dominant. Others (Harold Grant) read: tertiary is in the same attitude as the dominant."
Except for Myers-Briggs, which is controversial itself, the whole field of personality archetypes has had little advancement, imo, since Jung's theories; and this applies to modern function theories as well. So to expect that one model applies to each archetype is just asking too much. You can expect the dom, and perhaps the aux, to fit well, and the rest is just up for grabs.
EDIT: Until much more testing is done on cognitive function on people irl.