I'm not sure what the prolem of distingusihing colours analytically is supposed to relate to. The classic modern argument, Mary's Room attempts to demonstrate that the subjective sensation of colour is a problem of materialism, because on can conceviably know everything about the neuroscience of colour perception without knowing anything about how colours look. That could sort-of be re-expressed by saying Mary can't analytically deduce colour sensations from the information she has. And it is sort-of true that once you have a certain amount of experiential knowledge of colour space, you could gues the nature of colours you haven't personally seen. But that isn't very relevant to M's R because she is stipulated as not having seen any colours. So, overall, I don't see what you are getting at.
Mary's room is an interesting one. I think there's a valid rebuttal to it, though, but it takes quite a bit of explanation so hold onto your hats, ladies and gentlemen, and if you're not interested then feel free to ignore. I should stress that this is an argument of my own formulation, although it is informed by my readings of a bunch of other philosophers, and that therefore it is entirely possible that people who share my conclusions might disagree with my premises or form of argument. I'm not trying very hard to convince anyone with this post, just ...
[Cross-posted.]
1. Defining the problem: The inverted spectrum
A. Attempted solutions to the inverted spectrum.
B. The “substitution bias” of solving the “easy problem of consciousness” instead of the “hard problem.”
2. The false intuition of direct awareness
A. Our sense that the existence of raw experience is self-evident doesn’t show that it is true.
B. Experience can’t reveal the error in the intuition that raw experience exists.
C. We can’t capture the ineffable core of raw experience with language because there’s really nothing there.
D. We believe raw experience exists without detecting it.
3. The conceptual economy of qualia nihilism pays off in philosophical progress
4. Relying on the brute force of an intuition is rationally specious.
Against these considerations, the only argument for retaining raw experience in our ontology is the sheer strength of everyone’s belief in its existence. How much weight should we attach to a strong belief whose validity we can't check? None. Beliefs ordinarily earn a presumption of truth from the absence of empirical challenge, but when empirical challenge is impossible in principle, the belief deserves no confidence.