The house and systems you mentioned is established in the fluff, but not part of Sirius. The presence we would have in Sirius would be akin to Rome, and having a large outpost in Britannia. Same thing.
So no, it wouldn't be a full on new house that would take control of all systems described. Though inRP that's what we want. Just a faction trying to carve out a presence in Sirius with diplomatic savvy and underhanded cunning. Also make note of the technology section and gap. We are extremely far behind in technology from anyone in Sirius, so any attempt to control more than a handful of systems is not practical.