The Swiss don't care where you come from, being born in Switzerland doesn't make your child Swiss. Even being born in Switzerland to a foreigner who possesses a Swiss passport doesn't automatically make their children Swiss!
My experience (from 18 years ago) but I think it still applies. I'm American and my X was French but had a Swiss pass because of a previous marriage. Our daughter was born in Zurich and within a few months I applied for American citizenship which was granted immediately. The Swiss was a different matter, we applied and had to wait 6 months or more before it was finally approved.
In Switzerland having Swiss citizenship doesn't make you a "Swiss", you're still just a "foreigner" in possession of a Swiss passport.