Schimel's “Writing Science” seems a better guide to ‘serious’ writing than Pinker's recent “The sense of style.” Though both are aimed at the non-fiction writer and have many recommendations in common.
Schimel takes a more hands-on, practical approach. Indeed, “Writing Science” is a more classical textbook, even including end-of-chapter problems. It is showing what works and less discussing the why. On the other hand, it makes very clear why good writing is necessary. You want your article not just getting published but also cited. And you need that grant.
All in all, “Writing Science” is not dramatically different from other good writing guides. A distinguishing feature may be the explicit framing of the article and that grant applications as stories. A scientific article is not that different from a novel, the research note may not be that different from a newspaper piece. Hence, the story arc features prominently in this writing guide. The story arc determines the overall structure of the article, its sections, paragraphs, and sentences.
As particularly eye-opening and helpful I would consider Schimel's discussion of an article's resolution, its conclusion. It should not end with and emphasize the article's shortcomings but its contribution. It should not emphasize that “more research is needed” but the potential application. It should not give the reason to read another paper but the reason to cite this article.