I took a look at your results again, and I noticed something that may be difficult to explain.
I have a theory that cognitive functions are much more fluid than 8 defined groups would imply. Intuition, Sensing, Feeling, Thinking, and Introversion/Extroversion within each are more related than not. The 8 functions are like epicenters for each of these arenas, but by no means the extent of them. You clearly have an amazing and versatile mind.
However, I think what is happening with respect to your results is what I call 'ghosting'.
Judging by your lesser functions, Ti, Se, Te, and Si, I am making the deduction that your dominant order is Ni, Fe, Ti, and Se... and that your Ne and Fi are the result of a mixture of your strong Ni and Fe. Because your mind is versatile, you've been able to mimic Ne by applying Fe's extroverted sensibilities to your Ni. You've also developed a deeper sense of internal understanding by applying your Ni's introverted nature to your Fe reasoning.
My own results are similar, and I've realized that's how I came to those capacities. In nearly every person's results that I've seen from this test, there is a similar theme.
However, despite my having the appearance of the functionality of Ne on this quiz, people with true Ne can annoy me very quickly because I cannot keep up with their utterly brilliant nonsense. What they do is amazing, but my mind is not designed to keep up with them reflexively. My psuedo Ne is slow, and the result of processing my Ni and Fe together to produce similar results. This means that I am not especially capable of superfluous tangents, and my creativity must always be focused on practicality. True Ne is, from what I have witnessed with great consistency, the fastest thought process of the 8 functions. I don't have it. I can't even attempt to keep up with the rates of speed that Ne thinkers' minds move. We come to the same conclusions, but what takes me a few moments, takes them less than a microsecond. However, the opposite is true. I come to correct answers with no explanation in an instant, while they have to roll through all the possibilities for a moment to come to them. I've been told that this can be terribly annoying to Ne's, and it seems to equal my own annoyance (and possibly jealousy) with their abilities. The end result is the same, but the difference is one is inherent, and the other is manufactured.
I have the same reaction to true Fi. It often annoys me because it appears so self focused and self serving. However, once I've had a chance to consider others, I can use my Ni and Fe to figure out how I feel about something. My Fi friends tell me that they are equally annoyed by my inherent reflex to tell people how things should be. They call me bossy, demanding, and judgmental, but once they've had a chance to reflect, they realize that I'm also benevolent, unselfish, and put the needs of the group ahead of my own - which is what they do once they've had a chance to consider their own feelings first. Again, the result is the same, but the difference is that one is inherent, and the other is manufactured.
I truly believe that this is the reason for the 'ghosting' on this test result, regardless of what functions are manufacturing others. Dominant functions will always pair to form their opposing functions. Whether they are truly creating those functions or simply mimicing psuedo versions, I do not know, though I suspect this is the case. I could be wrong.
What I am convinced of, is that in your case, Gloomy, you are either inherently Ne and Fi with psuedo Ni and Fe, OR you are inherently Ni and Fe with pseudo Ne and Fi. My logic and my intution tell me that the latter is the case, but you're the only one who can truly assess which pair is inherent and which pair is manufactured.
I hope this helps. (This is in response to a question you asked me a while back about my opinion on this subject. Sorry that it took so long, and if the efficacy has expired.)
