Cheddar is a small town and a gorge in Somerset, UK. I live close by.
Switzerland is an entire country with sodding great mountains and lakes, multiple towns, cities and a lot of worryingly loved leather clothing.
How on earth can you reduce a nation that supplies the rather lovely Swiss Guard to the Vatican and rather a lot more (that word is working quite hard at this point and perspiring very heavily) to the entire world to ... cheese.
I suggest you don't apply for any jobs in marketing. Your talents will be wasted, should any be found 8)
The context of the thread is "swiss" on a menu in the US, which makes it obvious that it's cheese, and not a guard at the Vatican, same as cheddar on a sandwich is obviously not referring to an English town. It may shock you to find out that things are named differently in different places. smh