Mandatory gun ownership by those who have received training is different than voluntary gun ownership by those who do not require training. Mandatory gun ownership does not imply that one chooses to own a gun or needs the gun. In a society where most choose to own a gun, the implication is that it was necessary to do so, and that is very different from the climate in Switzerland.

The dynamics are completely different. Furthermore, Switzerland has a government, and more importantly, resides in a geopolitical climate which obviously favors the choices it makes. Such geopolitical climates are not guaranteed to be uniform elsewhere, and thus your comparison may be weak for the following reasons, at the very least:

1. Mountainous terrain
2. Swiss banking rules and their history with WWII.
3. Population density
4. Preexisting social distribution within its population.