I've occasionally had the experience of wanting to convey a concept from the Sequences to somebody who hasn't read them, but when I try to find a good post to link them to, I realize that the description of the concept is spread out over three or more posts that each individually have a frustratingly low content-to-words ratio. (The LW wiki helps a bit, but there the descriptions are often too concise to be useful.)

I suspect that the popularity of the Sequences is both despite and due to the writing style. This problem with the style didn't matter so much when the posts were being written and they showed up once a day in my RSS feed - in order to properly learn a concept, you need to encounter it several times with slight variations, and the actual message being spread out over many posts was originally helpful in this respect. It spread out the message over several days of reading and thus helped learn it better than if there had been just one clear, to-the-point post - that you read once and then forgot.

However, now that nobody is reading the posts at a one-per-day rate anymore, the style and format seems harmful. When you're reading through a (huge) archived sequence of posts, unnecessary fluff will just create a feeling of things having being written in a needlessly wordy way. And it makes it very hard to usefully link to posts about specific concepts.