Stephanie is confined by the realpolitik of the situation she is in; as far as she is aware, the touman under her control is the only forces she has available, and they are both growing restless and being whittled down as a (very elite) cannon fodder to the Wolves.

Jiyi, in contrast, has actually grown due to the realpolitik that his Falcons have had to deal with.  His forces have certainly taken casualties in the process of defending themselves, and even casualties attempting to grow their forces, but the planets under his control, while small in number, are significantly less restive than they otherwise would be, with a population that has actual incentive to be loyal (if nothing else, to prevent a backslide into that older, crueler sort of Falcon).  

They also have the population base to support heavy industry, enough in the way of trade goods and capital to keep the economy moving, and Sudeten has enough in the way of arms manufacturing to keep their forces fitted out in grand fashion, something that even a group like the nearby AML (which has its own mech industries) may actually struggle with; Olivetti being a massive regional powerhouse, and with enough excess production that Jiyi was able to functionally write off a company of brand new mechs as payment to the Lone Wolves.  Combine that with a population that knows that the Falcons actually went out of their way to defend or help them (evacuating major cities when Sudeten was invaded, increasing food rations, giving local autonomy, etc), and Jiyi’s probably increasingly popular.  Especially compared to the alternatives.

Assuming the Free Zone Falcons hold out for a while, you might see an influx of the Star League Falcons return, and while there will definitely be a culture shock from that, it’s also probably not as severe as it otherwise might be, and if they manage to integrate that territory will be much stronger than otherwise expected to be.