I believe that the post above is a reference to household ownership rather than per capita, there are a number of countries where the household ownership percentage is similar, but the number per household is much lower, that is true of many things, cars, TVs, guns, etc.

I'm talking about gun deaths in total, not mass shootings as in your link. Yes, the number of guns is far below the US (every country on Earth is) but looking at the number in isolation is disingenuous.

As to legal restrictions in Switzerland, that is absolutely true but orthogonal to the point I've made. The issue lies in the number of guns per person (and I'd personally argue the culture surrounding guns which spurs it), not the legal framework. South Africa has tighter gun laws than the US but still suffers from greater gun deaths (again, in total not mass shootings).