As civilisations go, the Seanchan one isn't the worst one to live in, as long as you aren't a channeler with the spark (0.01% of the population), and you don't challenge the heirarchy. There's equality under the law (the Blood have privileges, yes, but it's a modern western belief that one law applies to everyone. Seanchan has different laws for nobles, commoners and slaves. That doesn't mean they're not equally applied.)

Their status as an aggressively expansionist empire means their citizens can expect a general increase in prosperity in the short-to-medium term. However, like all empires, it will eventually overextend itself or stagnate, and start to crumble. Its bureaucracy will ossify, wars will become increasinly expensive, etc, and the empire will start to break up again. Actually,this could be the 'breaking' of the Fourth age, if the Seanchan do take over Randland.

However for the immediate post-TG future, the Seanchan would indeed provide stability. Whether 'stability' is actually desirable is another thing - the Breaking seems to be a necessary part of the turning of the wheel, and the chaos is leaves does eventually settle into a new, superior order, compared to the corrupt or archaic nations and power structures which preceded it.