As I've previously acknowledged, there's no question that intuition (as Jung saw it) involves
perception of unconscious contents and that Jung viewed N-doms as being more in tune with some aspects of the collective unconscious by virtue of intuition being their dominant function. (He also thought introverts were more in tune, in a somewhat different way, with the contents of the collective unconscious.) But there's also no question that, when it comes to the issue of differentiated vs. differentiated functions — with the latter being located in the unconscious, fused with the other unconscious functions, and tending to be "archaic" and not subject to "direction" by the will, and the former being separated from the other functions (hence "differentiated") and brought up into consciousness and subject to the will — Jung's view was that, for a typical (reasonably well-differentiated) N-dom, their dominant intuition was a predominantly
conscious function (notwithstanding that it involved the
perception of unconscious contents), just as he thought that, e.g., the sensation of a typical S-dom was a predominantly conscious function.
Read Jung's Ne-dom portrait. The Ne-dom in hot pursuit of the latest trend — which he has a special talent for spotting because of his differentiated Ne — is perfectly conscious of his current "vision" and is in conscious, determined,
will-ful (if you will) pursuit of it. It's true that the ultimate root of his vision might theoretically be identifiable (by somebody like Jung, or so Jung thought) as some ancient "archetype" or "primordial image" buried in our evolution-based collective unconscious and providing a somewhat reliable guide to current trends because history repeats and all that, a-a-and that the Ne-dom himself might well not understand all that — i.e., that the Ne-dom himself wouldn't be fully "conscious" of all the underlying psychological bases (in his unconscious) for his conscious "vision" — but, first of all, that wouldn't keep the aspects of his Ne that he's
conscious of, and acts upon, etc. from basically being as differentiated/directable/etc. as the dominant function of any other type, and second, it's not like various of the non-N types (especially the introverted ones) weren't also subject (as Jung saw it) to being influenced (as part of their
dominant functions) by "archetypes" and "primordial images" from the collective unconscious that they weren't
directly "conscious" of.
As an example of that last point, Jung describes Fi as a function whose "aim is not to adjust itself to the object, but to subordinate it
in an unconscious effort to realize the underlying images. It is continually seeking
an image which has no existence in reality, but which it has seen in a kind of vision. ... If [introverted] thinking can be understood only with difficulty because of its unrelatedness, this is true in even higher degree of [introverted] feeling. In order to communicate with others, it has to find an external form not only acceptable to itself, but capable also of arousing a parallel feeling in them, [and] the form acceptable to feeling is extraordinarily difficult to find so long as it is still mainly oriented to the fathomless store of primordial images." Describing the Fi-dom, Jung notes that "
the real object of this feeling is only dimly divined by the normal type herself. ... It gives a woman of this type a mysterious power that may prove terribly fascinating to the extraverted man. ...
This power comes from the deeply felt, unconscious images, but consciously she is apt to relate it to the ego, whereupon her influence becomes debased into a personal tyranny."
Again, Jung is describing Fi in an Fi-dom — so, in other words, the woman's most fully-conscious and differentiated function — but the "primordial images" behind some of her most intense feelings (and hence what Jung refers to as the "real objects" of her feeling) are "unconscious" to her (or "only dimly divined" by her), in much the same way that the Ne-dom chasing his current (relatively worldly) "vision" may be "unconscious" of (or only dimly divine) the ancient archetype/image that is manifesting itself in that vision.
Did Jung think an N-dom's intuition put them, in some ways, more in touch with the collective unconscious than non-N-doms? Yes. Did Jung think an introvert's inward focus put them, in some ways, more in touch with the collective unconscious than extraverts? Yes. Buut... when it came to the "consciousness" of a dominant function for the purposes (and with the consequences) I discussed earlier in the thread — e.g., the tendency of unconscious functions to be "fused together with elements not properly belonging to [them,]" incapable of effective direction by the subject's will, "archaic" in quality, and experienced by the subject as "things that simply 'happen' to one" — did Jung think an N-dom's dominant function was more "unconscious" than a T-dom's, or that an introvert's dominant function was more "unconscious" than an extravert's? No.
Jung referred to the dominant and auxiliary functions as the "conscious functions" and the tertiary and inferior functions as the "unconscious functions." He referred to them that way in
Psychological Types — including in the section on the auxiliary function that I'm sure you're familiar with — and he was still referring to them that way
thirty years later (in 1952). His model for a typical representative of all eight of his types was for the dominant function to be mostly conscious (and differentiated) and the inferior function to be mostly unconscious (and undifferentiated), and the two middle functions to be in between — but with the auxiliary function significantly more conscious than unconscious (rendering it a "conscious function" on balance) and the tertiary function more unconscious than conscious (rendering it an "unconscious function" on balance and meaning that it tended to be largely "fused" with the inferior function, rather than differentiated). And Jung didn't make an exception to that model for N-doms. The aspect of N that opened it up to being characterized as "unconscious perception" was an aspect that basically related to perception
of the unconscious, and in any case didn't mean that the N of an N-dom wasn't predominantly a "conscious function" in the previously-described sense.