Interesting. Except I'm wondering if it could work this way: Ni uses Te and Fe to solidify truths, which cement as Ti and Fi, which Ne can then follow. I am just stating the converse of you; an inside out version. What if it's the Fi and Ti that come first, because they have been cemented in your psyche, then when Ne attempts to perceive outward patterns, or links, it immediately recognizes already developed Ti and Fi thoughts, which have occurred due to perceptions already done by Ni/Te/Fe. ?
Ne would/could revert to Ni's strength, as is usual for an Ni dom, but since it's already an outward function, it's inclination will be to turn inward for judgment of what it's seeing. Then, walah, it runs into previous Ti and Fi thoughts and thinks it was the originator of those thoughts, but in actuality, they saw where they fit in Ne, were already ingrained in the mind, and so instantaneously fell into their usual place. Ne hasn't really made this happen, Ni has originally, but it feels like Ne because the original act was an extraverted intuitive moment.
Feel free to post the cuckoo icon ad lib.