[beerandt]

Yet every swiss male citizen does military training and is issued a weapon to keep, to use in staying proficient.

There's no need for a military culture, when the government has already mandated it for you.

Not that it isn't popular:

>On September 22, 2013, a referendum that aimed to abolish conscription was held in Switzerland. However, the referendum failed with over 73% of the electorate voting against it, showing strong support for conscription of men in Switzerland.

[ahtihn]

Military service isn't popular at all, but the majority of people do agree that it's necessary to have a military and they don't want a professional army. So that leaves the current system.

[beerandt]

The popular mechanism remains- there's no need to encourage a voluntary interest in military culture and therefore military readiness, when it's already a popular idea to mandate the readiness.

In the absence of that mandate, there would be a vacuum in which citizens suddenly have self-interest in promoting voluntary readiness, which is implemented culturally.