Thing is, on a practical, pragmatic, level, Stephanie Chistu needs the structure Jiyi is putting together/has put together.
The Falcons in the Sol system don't have their own logistics, support structure, or systems to maintain their identity as anything more than Alaric's murderous underliners.
If they want the Clan to be anything more than the threat used to frighten civilians on behalf of the Wolf Khan, they need what Jiyi's got.
This isn't to say they need him, but having him 'on the team' would make a lot of things work significantly better, especially given that Alaric's abandoned his support infrastructure just about completely, and has made himself reliant on terrorizing the Terrans into going to work.
(which is not a situation you want to keep running if you want your guns to go 'bang' when you're firing them later on.)
Especially, if you are Clan Jade Falcon. See, Alaric "Preserved" them, after letting them commit atrocities, the odds that anyone is going to offer them unforced support is negligible, since they're still carrying and wearing those identifiers they were wearing when they arrived and engaged in massacre and orbital bombardments.
It'd be a little bit like what might happen in 1946 if the Russians used ex-Totenkopf SS, in uniform in Poland as underliners. The odds of their getting useful, or even functioning supplies aren't nearly as good, if they're not getting them from Falcon holdings OUTSIDE the former Prefecture X...
so, Stephanie needs what Jiyi brings to the table.
of course, all the above relies on "Rule of Natural Consequences" and as we've seen repeatedly with the whole storyline, those don't happen if it impedes the designated hero (Alaric) in any meaningful way.