Once again, I don't know that 9s are necessarily detached from the intrinsic. Their ability to allow the extrinsic to just wash over them, and essentially ignore it, seems to me like a phenomenal ability to focus entirely on the intrinsic, and thus shut out the extrinsic (and systemic). They might ignore their inner anger, or something, but they don't seem to wholeheartedly ignore the intrinsic.
As for 6s, I see tons of systemic thinking in them. When 6s get worked up, it's because they genuinely think what is happening/being discussed is systemically wrong, and, at least in terms of the specific system their working with (i.e., their highly-thought-out worldview), they are indeed bringing up genuine systemic problems (now, whether they're overemphasizing the things they're complaining about, due to the lopsidedness of their system/worldview, well, that depends on the rationality, objectivity, and sanity of that particular 6, but they definitely all seem to have a strong connection to the systemic).
As for 3s, they definitely seem to be attached to the extrinsic. (I won't go into them in any more detail, as I'm sure you get the picture I'm painting, and I don't feel I understand 3s as well as the other two.)
As such, what I would caution you from doing, when thinking in terms of Molina's addition of the Hartman Value Profile to the Enneagram, is the same thing I censured @Elfboy for: don't simply equate the Intrinsic and the Gut, the Extrinsic and the Heart, the Systemic and the Head; but, rather, recognize the Gut center as the center focused on the Intrinsic value dimension, the Heart center as the center focused on the Extrinsic value dimension, and the Head center as the center focused on the Systemic value dimension. Then, consider that, among the three types within each center, there is one type that has its specific manifestation in (or has its specific focus on) each of the three value dimensions (the Intrinsic, the Extrinsic, and the Systemic).