I think people are missing the fundamental cause of the rise of the Swiss - they were an alliance, or small series of alliances, between small states threatened by the encroachments of the Hapsburgs in their area. They were fighting for their political independence. If you, say, have the Austrians remain the dominant power of the Swiss cantons, you have immediately effectively eliminated the very Swiss raison d'etre. If the Swiss are under Austrian governance, they have no cause to expand. The Austrians were unconcerned about annexing vast swathes of the area of Switzerland, they were just trying to tie the Swiss down and force them to acknowledge the Hapsburgs as the local hegemon. In this scenario, you just paint about half of the Swiss Confederacy Austria white in maps of 1700-1800 and call the rest "petty states of the Empire". That's all that will happen. To look at the other extreme - that the Swiss go on an annexation fest - well...I'm not sure why they would. When the Swiss finally expelled the Austrians from the area of their Confederacy, their only expansion was a little bit of politicking, inviting local powers such as Mullhousen to join them for political and military security, as they feared the Austrians would return. Sure, their military became a fearsome force, but they didn't have the capacity for expansion. Their military was too small and they had no claim to areas outside of the Alpine regions where they expanded to the limits of anyway. There's a reason the Swiss became mercenaries - they had achieved their aims and thus were willing to let others employ their services as they didn't feel the need any more to use their own troops as a protective force. On top of this, they really never had the manpower to wage more campaigns. The flatlands which border their lands didn't feel any kinship with the Swiss as they hadn't had the same struggle for dominance with the Hapsburgs either, so there would be few recruits there. Indeed, the Swiss could become the very "Hapsburg" oppressors to their conquered lands that the Austrians were to them, forcing them to fight wars to keep their own lands - the Swiss were for a long time really quite harsh and domineering over the cantons which were called Territories, denying them many rights and treating the citizens there as second class humans. Really, I'm just not sure that the Swiss wanted to, had any cause for, or could pull off further expansion.