A sequence done in one month? Clearly, you've haven't been paying attention to my other sequences. :)

Why can't conceptual analysis be regarded as "Coherent Extrapolated Cognition"?

Coherent extrapolated cognition? Sounds like the process of reflective equilibrium, another standard tool of philosophy. I'll address that in future posts.

Just because people are vague in their thinking doesn't mean that clarity is a vice.

Certainly not!