I find that Ne users are the most colloquially "intuitive."
Ni is an open-minded, inward ideational process of moving through information. Being an internal perciever myself, it's totally not straightforward or clear, but centers on internal exploration, imagination, and abstraction. I don't know how colloquially intuitive Ni is as much as it is inwardly abstract and conceptual. I go with Ni and see where it leads me, and see what new avenues of thought or perspective it can bring.
Ne being external, is really about catching (and being open-minded to) things in the moment: patterns, hunches, big-picture of what's being presented, what people are really thinking, exploring layers within the moment. That is the hallmark Ne type, and why Ne types are often so immediately intuitive about things or people. Ni types on the other hand reach impactful insights upon reflective thought.
Then J primary types, especially INxPs, are the ones I find with the most personal clarity and gut understanding, matching exactly what Lenore Thomsons says on this subject. This gut understanding of INxPs is perhaps because intuition isn't actually perception, it is a type of personal hunch judgement. Ji easily connects into Pe "sensation," something that Ni is not really for.
As far as colloquial intuition, I do trust it to a degree, but don't really see it as a necessary focus of Ni.