My understanding of these terms:
1. Treble is "dry" - Analogous to being etched - the treble lacks dimensionality and warmth. Imagine a mallet striking a cymbal - it should have richness, warmth, and a (not unpleasant) sense of reverberation. If, by contrast, it sounds like you are hitting a steel plate with a nail, that is a dry treble. However, I am not familiar with bass being "dry" - maybe something like a paper cone woofer that lacks depth? I am not sure the analogy quite fits.
2. Bass is "wet" - rich, but also somewhat slow / plodding. However, the idea of a "wet" treble is for me the inverse of a dry bass - not sure what it means or how the analogy fits.
3. Organic - integrated and of a whole. Nothing stands out unnaturally. You don't notice one particular quality over others, they all just fit together. I.e., in accord with the definition: "denoting a relation between elements of something such that they fit together harmoniously as necessary parts of a whole."
4. "Musical" - a BS term. It means nothing. Basically lazy writers use this to characterize equipment they like (or want readers to believe they like).