InMyOpinion,
"which to start with" depends on
what one wants from a novel, and
on how intricate a novel one can comprehend.
OBS is a Basic SF Novel, for introductory readers.
The "Protagonist" is Hero, the PoV person with whom the
reader identifies, whose acts are always best,
who is the virtual deputy to a Deus Ex Machina.
In this case, "Taming & Winning The Crew" is the
basic plot, and the rest is window-dressing.
HotQ is written on the next, more difficult level.
It uses an "Imperfect Protagonist" - one who makes errors
(I counted four Major Errors), whose judgements can be
dubious, even downright mistaken.
The reader needs to judge an IP, not identify with her.
It takes a sophisticated reader to appreciate such books.
Less sophisticated readers might feel betrayed, that
the PoV character, their own "avatar," could be wrong.
Me, I did right by myself by starting with OBS.
HotQ would have been too sophisticated for me then.
Others' miliage will vary.
HTM
The E wrote:[snip - htm]
In OBS, Honor is a largely static character, she doesn't have to adapt to her environments (rather, she forces the main environment of the novel to adapt to her) in any meaningful way. In addition, given the novel's focus on Fearless's crew interaction with itself and their new Captain, the external threat from the Medusans and Haven is very much a sideshow to the internal drama.
Finally, we have the Havenite threat itself: The scheme that Honor ends up thwarting is a very convoluted one. It's overly complicated, and lacks an emotional punch or hook; it's essentially a bit of legal maneuvering. And that just doesn't resonate all that well with a lot of readers.
HotQ, on the other hand, does a much better job at challenging Honor. Not only is she confronted with having to operate in an arena she has very much avoided, she's forced to overcome her prejudices first. Same goes for the Graysons and the reader: Just as Honor is prejudiced about those backwater misogynists, so are we, and learning what makes the Graysons tick, and how they're definitely not backwater misogynists (well, at least some of them) is an interesting process of discovery.
Second, the threat that Honor has to fight against in HotQ is much more visceral, much easier to understand and picture, and the plot gives us ample opportunity to see the buildup, the fight, and its resolution without the odd pacing issues that OBS has (remember that treatise about the how of the Hyperdrive inserted awkwardly just after the chase begins?).
Overall, HotQ is in many ways the superior book, at least in my opinion. It has better, tighter plotting, a much more interesting cast of characters, and presents a more interesting setting with higher stakes than its predecessor.
[big snip - htm]
OBS is not a bad book, not by a long shot. [snip]