This an incredibly naive claim to make. No, increasing the power of the House doesn’t mean everyone under the House benefits. If Khanid’s fortunes continue to wax, does that automatically mean the scant few people alive on the Fabai constellation’s colonies benefit? Of course not. Khanid is perfectly free to continue to ignore the well-being of those people as he’s long ignored the well-being of commoners whenever they’ve become inconvenient.
When power is systemically concentrated in the hands of those at the top without recourse or accountability to the masses, corruption will inevitably grow at accelerating rates. It’s why, even in systems expressly designed to serve the needs of the people, you see those in power working tirelessly to expand their own authority, limit oversight, and stifle dissent with threats, belittling, and intimidation.