This is exactly how I use Claude in all of my technical writing. I even wrote a skill for this.

Every claim has to be backed up by a reference. Every reference has to be double-checked. Primary sources are much preferred over secondary sources, and where no primary source can be found, that must be noted.

I also insist on simpler, more easy-to-understand writing, even if that makes the total output longer. Aiming at a general audience, of the same reading level as a standard newspaper.

Most of the rest of the skill is about ensuring the Chicago Manual of Style is properly followed, widow/orphan control and how that applies to callout boxes, tables, etc….