After reviewing the accepted definitions of the eight functions, it has come to my attention that, while extroverted functions are oriented toward the external world, those who choose to utilize them (primarily) are not necessarily extroverted, and vice versa (with regards to the introverted functions).
Taken from Understanding the Eight Jungian Cognitive Processes / Eight Functions Attitudes:
Why must a dominant user of extroverted intuition (Ne) be extroverted? I can think of many situations in which one may prefer to utilize Ne while isolated from others.Extraverted iNtuiting involves noticing hidden meanings and interpreting them, often entertaining a wealth of possible interpretations from just one idea or interpreting what someone’s behavior really means. It also involves seeing things “as if,” with various possible representations of reality. Using this process, we can juggle many different ideas, thoughts, beliefs, and meanings in our mind at once with the possibility that they are all true. This is like weaving themes and threads together.
How does one even go about making the distinction between extroverted and introverted functions? Doesn't the wild speculation that accompanies Ne occur within the user's mind? And is it not also true that, despite the fact that Ti is considered to be an introverted functions, it can easily be directed toward the outside world (perhaps in tandem with an extroverted perceiving function)?
I propose that the traditional concept of "extroverted" and "introverted" functions is revised in such a way, so that they are classified according to the activity with they are associated, rather than their supposed orientation (e.g. "speculative intuition" as opposed to "extroverted intuition", "analytical thinking" as opposed to "introverted thinking", so on and so forth).