I'd like to see more on this subject myself, as I have a character background to flesh out and I'm basically having to read between the lines around the relatively scant info on Eberron kobolds; the Dragonshards article referenced suggests some ways in which things differ, but is still pretty light on detail.
As to considering Races of the Dragon content regarding kobolds, a lot of it isn't directly contradicted by the Dragonshards article, but nevertheless feels like it wouldn't map entirely cleanly. The section on appearance (including racial traits, aging, height/weight, physiology, etc.) mostly stands intact, aside from a slight error in the height/weight table (kobold male base weight should probably be 5lbs lower). Psychology section needs to be taken with a grain of salt; there is not really a Kurtulmak analogue for Eberron kobolds, and while dragons may well be significant for their own ties to Siberys, it is the Progenitors' blood that runs through kobold veins. Irvhir kobolds would likely see dragons as enemies of Khyber's will, while iredar kobolds might view them as worthy allies against a common foe (if that tribe was in a position to be concerned about fiends or irvhir), or maybe just as a race with closer ties to the Progenitors than most. A lot of the information about the religious beliefs and views of other races just doesn't seem like it would apply. Irvhir kobolds would probably tend to be actively hostile to most other races, even dragons. I'd tend to see iredar kobolds as more aloof than hostile, though, even toward gnomes. Obviously they have no qualms attacking those who invade their tribe's territory, but I don't get the sense there would be any deep enmity there.
One of my outs for not feeling like I have the best understanding of iredar kobold culture in Khorvaire is that my relevant character doesn't necessarily either. Tikra's tribe was destroyed in a raid by one of the goblinoid clans in the Seawall Mountains, and she was taken as a slave before she was even old enough for her tribe to have assigned her a role (she probably would have ended up a stonescale). She vaguely remembers various things she was taught by her tribe, but she probably knows more about kobolds from things she's heard from fellow slaves than from her own upbringing.
I try to incorporate reasonable-seeming tidbits when it seems useful and ignore what doesn't. How does Tikra view other races? Well, the kobolds are descended from the Progenitors; her people sprang from the blood of Eberron in the very first conflict. She knows that lore of her people well... and that grand heritage means nothing when you're chained up with a lot of strangers and trying desperately not to attract attention, especially from that one goblin who's threatened to cut out your tongue if he hears your voice again. And it isn't as though she personally has been blessed by Eberron through sorcery or visions. Even after reaching freedom, her long captivity has conditioned her on some level to divide people into two categories: captors (goblinoids) and potential slaves (everyone else). Now that she's a permanent resident of Korranberg enjoying the protection of the Trust, she probably doesn't have to realistically worry about being recaptured, but that doesn't mean that fear won't stay with her for a long time anyway. But while she'd take a kobold blood seer pretty seriously, and might show some deference as a result, she might treat a member of another race similarly if they impressed her in a similar way.
The Zil culture has aspects that resonate with her and aspects that don't. She can appreciate the Zil devotion to family as not entirely dissimilar to duty to one's tribe. The Trust, creepy as it might seem to many non-Zil, provides order and safety. The Zil practice of bartering favors seems a bit odd at times, but if it serves to keep things in balance... Zil "games" of intrigue do not interest her, however; she would much rather stay focused on her work. Most people she judges on individual merits. She is somewhat aloof and fairly socially isolated overall, but she can be fiercely loyal to those she deems worthy of friendship.
I'm curious if anyone has any thoughts on RotD's info on grooming, since it seems a little awkward for a supposed staple like bitterleaf oil to be produced only by kobold alchemists. Are there any purely natural alternatives? What are the drawbacks? The thought that she might be regularly buying a basic necessity from a disguised kobold could be an interesting plot hook at some point, I suppose; on the other hand Korranberg has no shortage of alchemists, so some alternative ought to be possible. It further occurs to me that Talenta halflings might have something they use for grooming their mounts that could prove efficacious.
Edit: Here's a possibly-relevant excerpt from Tikra's writing on Zil culture:
The concept of 'coin' was in some ways familiar and in some ways new. Wealth was something my tribe had understood well, and I vaguely recall the way some of the members treasured personal trinkets that they had acquired. But my own understanding of wealth had always been more on the order of what resources a tribe possessed. My recent reading had made it clear, however, that in most places it was up to individuals to find their own wealth and exchange it for what they personally need. In Zil society families looked after each other, but no one seemed to look out for the tribe as a whole, at least in terms of seeing people fed, clothed, and otherwise cared for. It seemed almost like each family was a tiny tribe living together with hundreds of other tribes, tolerating them but not seeming to really care about their welfare that much.