Either case Switzerlands demographics don't seem too different from their neighbors like Austria: https://en.wikipedia.org/wiki/Demographics_of_Austria
I won't doubt that they have a Euro-centric immigration policy, but I'm curious why a landlocked nation in the center of Europe really needs anything else.
I'm from a West African country and our immigration policy is arms open to our neighbors, and non-existant for European countries except for the UK.