Honestly I'm more inclined to believe all of this was borderline improvised.
Originally I didn't know how I had to feel about Kyoshiro as it's hard to get a read on him. At this point though I think he is neither for nor against either the Kozuki nor the Orochi-faction. It has been shown before he values familial bonds quite a lot, so whatever he did was mostly for Hiyori's sake.
The entire killing of Komurasaki felt staged from the beginning, yet if that was a well thought out elaborate scheme, how come the next thing we see is a fleeing Komurasaki without anyone to protect her? Face it, if it wasn't for Zoro, she would have truly died.
My current perception is that Kyoshiro somehow got his hands on one of the cryptograms and notified Hiyori (or the other way around), which made Hiyori wanting to search for her brother. Because she was considered 'family' by Kyoshiro, he decided to help her by staging her death. But from then on she was on her own. This is also in line with Kyoshiro mentioning this chapter that he suffered the greatest loss of all. I mean he had control over Wano's #1 idol, which certainly provided a lot of benefits for him (money, influence, intelligence information). Not only has he lost all of that, his relationship with Orochi definitely is a bit strained at the moment.
So when the time comes, I really wouldn't put my money on him supporting the Kozuki-faction just like that. In fact he already once said he would have loved to fight the likes of Kinemon. Not because he seems to hate them, but purely out of interest and I think that's also how he's going to behave during the remainder of this arc.