Career options in scientific/academic publishing for PhDs and Postdocs
I'm in a similar situation, meaning that I'm also a recent (less than two months) Ph.D. graduate and currently focus my effort on a job search (both in industry and academia). The differences between you and me include the discipline (not essential) and my lack of postdoctoral (or any other, for that matter) job offers at the moment. Since I briefly have been considering a temporary career move toward a scientific publishing world, while I do not have a direct work experience in the scientific publishing industry, I think that I have browsed through enough job advertisements to form and share my opinion on the subject, as follows (certainly, take it with a grain of salt).

I consider the temporary career move toward scientific publishing that I've mentioned mostly as an industry career option and not an academic one. While in the context of scientific publishing, there is an intersection between classifying such career option as one of industry or academia, I believe that a career in scientific publishing cannot be considered as an academic career. Therefore, my first point is that, if you, as myself, consider academia as your main ultimate career avenue, going the scientific publishing route is not a good option (unless it is very short-term and due to circumstances). Continuing my road terminology analogy, the above-mentioned avenue and route are not parallel, thus, after some time traveling the scientific publishing career route, one can find themselves too far from the academia career avenue. That will most likely make returning back to academia very difficult, if not impossible.

Based on various job descriptions that I've looked at, a career in scientific publishing seems to involve much less scholarly activities at the expense of much more project management, marketing and operational ones (especially, for non-senior editorial roles). Moreover, internal organizational politics, tight deadlines and other time-related issues, as well as stress of juggling multiple publication projects add insult to injury.

Finally, I personally dislike the scientific publishing industry's negative role due to lack of openness in dissemination of scientific information and corresponding strategies and tactics they use (that includes their "implementation" of the open access paradigm). Therefore, it would make even more difficult for me to work in such environment and organizational culture.

Considering all the above, I would not go the scientific publishing route, even temporarily, but, instead, would try my best to join academia as a postdoc or junior faculty member and progress there or, alternatively, go the real science-related industry route (less perfect, considering the ultimate goal, but, can be either temporary, or long-term, combined - in a form of consulting - with academic positions).