I don't know that I'd compare GA to Switzerland. Switzerland may be neutral, but they had the most respected mercenaries in late medieval times, and I understand that their military is still rather badass today.
If there were an in-game way that some of our nobles could act as mercenaries and not act on behalf of the realm, I'm certain they'd jump on it. Even if it were just to make coin.
And yeah... the largest realm tends to find themselves involved in the most activity by virtue of being adjacent to everything.
