I am an internally (and somewhat externally) suspected INTP, yet in ways I feel kind of skeptical about it, and now I'm a little skeptical of the idea I may have Ne as an auxillary function. To start:
If I'm not lost in my thoughts or depressed about something, I sometimes do look at the external world and take unrelated ideas and make something funny out of it. I recently concluded that snapbacks look like severed duck heads, just a little wider. I do pretty well at looking at a deformed shape and pinpointing what it looks like. I consider multiple possibilities at the same time, even when something seems likely. I think about how a certain response could be taken in various ways from someone. As a child, I loved building things out of almost anything, and decorating legos and creating little cities, and would pretend I was Godzilla sometimes. My sense of humor is very observational, and it can "train" sometimes, as in, one funny comment will lead to another related funny comment, and so on. I took a earlier joke from one of my favorite comedians and modified the hell out of it, I won't go into extra detail about that right now. I'm good at rhyming words or weaving them together for comedic purposes, for example, "there was once a cat who ate so much crap, he got so fat that all he did was nap". I feel like I'm lacking in knowledge right now, and I vision if I had more, I could do so much more with my possible Ne. In other words, my possible Ne is weak due to my weak knowledge base of things I can relate external things to.
However, I have gotten better at reading people. I look into a comment someone may say, or frequent facial expressions and behaviors, and it will open up an explosion of possibly related data in my head, and then draw possibilities of what this person may be like based off of that, and give me above average reliability of an impression, yet amazingly I am not quick to judge or conclude just based of of that external data, and consider other possibilities. I can predict what may happen next based on past history, or obvious patterns. I am always forming possibilities of anything in my head, and I'm usually stimulated by movement or music to generate new thoughts and ideas. I have always been a future oriented thinker, and have planned my future at times, sometimes prematurely and irrationally (when I was a kid, this was just due to my resilliance). I sometimes have "aha!" gut feelings that come out of nowhere. My foresight has gotten better.
Therefore, it seems there is an Ne/Ni overlap here, and it is hard for me to pinpoint the preference.
I may come up with some more about me later, but this is enough data for you guys to work on and analyze. Cheers.