Okay, I think I finally get what Ne is about, or rather what part of it is about. In the sense of Ne being about "potential", Ne will look at a "thing" (say a moment in time, such as a scientific development, or a picture, or a person), and see all the different things that that "thing" being studied could develop into.
Do you typically feel drawn, as an ILE, to feed into that thing's development? IOW do you chase the development of potential?
Si's specific relationship with Ne is that Si needs to feel comfortable that its comfortable boat cruise is not heading for a precipitous plummet off a waterfall, so to speak. Si leads to a sort of "go with the flow" attitude. Being a Sensing function, it's focused on the here and now, and occasionally feels a lot of fear that it can't perceive any threats ahead of time (weak Ni), and so will extrapolate a course that is at least reasonably secure, as much as is possible.
My way of life is comfortable.
--> But it could lead to doom...
--> And it will lead to adventure!
Ne's specific relationship with Si is that Ne is completely scattered and without a center. Ne doms will constantly be pulled toward their high-potential situations and critical moments without ever having any kind of routine or consistent life.
I can't logically construct anything more from there though... could someone fit their experience into the framework I set for Si?