I know on that functions test, I score high on both Ti and Fi. Actually if I remember right Fi was a little higher than Ti. Ne and Si were also strong. Te and Ni were average and Se and Fe were low. I think I have better developed Fe than that test indicates though. Some of the Fe questions were such that as a strong introvert, I just could not relate to them.
Those seem like typical INTP results (Fe as low). A clue to T/F when both are strong is which function's opposite attitude is weaker. It never follows the Beebe order, but again, usually more closely the Lenore order with the inferior as very weak and the shadow of the dominant as somewhere in the middle.
I've just seen the videos, and from the first one and some of the newest one, you sound so much like me. (Dealing with people, justice/fairness, the liking but not having animals, especially needing reason why for everything, etc. All of these Ti personal cause/effect decisions). If I had time, I'd go through them and list everything with possible explanations. For instance, I know I can be very literal as well, but it's not an S preference. It might be tertiary Si, or just a particular situation. The reason you give is less ambiguity, and that is probably more the Ti than any S.
The same with some of what you are calling "J" behaviors.
Process/results are also tied to Interaction Styles, and
INP (Behind the Scenes) are results oriented (along with In Charge) while Get Things Going and Chart the Course are process oriented. So
that is not J, but INP!
You otherwise really sound more like a P, which is "attitude", not neatness, as you acknowledged. Ne sounds very prominent. (Different perspectives, etc).
Feeling seems to fit a developed inferior. (Care about what others think too much as what you dislike, as opposed to
your brain and intelligence being what you like about yourself). That's clear T over F preference. Fe would match what Berens calls "aspirational".
And overall, you do seem like an INTP female, from what I have seen of them. The whole vibe and everything. Again, female might seem to be "Feeling", because that's the role society projects onto females, and of course, a majority of them are F.
So I guess seeing your face and speech are what I needed to push me one way or the other.
The main things that seemed TJ were... the stiffness and coldness of your behavior, and also how ordered and organized it was. You were very monotone, almost robotic.
The thing is, I've also been accused of being robotic when I'm nervous, so I'm not sure. If you were nervous, that throws things off, because you need to be seen in a relaxed state, not a tense one.
It's also possible that you have some sort of issue that leads to flattened affect, despite actually being a more sensitive person.
She seems like a somewhat reserved "informative" type (such as NP) rather than a naturally "robotic, tense" directive TJ. (And the NFJ is also directive, and carries a completely different vibe from her).
The T would give enough of that composure you're interpreting as "stiff". (I didn't see it as "cold" at all, however. But I'm going by the informative vibe, which I relate better to).