I always found Emmentaler bland and boring compared to many others in Switzerland, I wish the immigrants brought something better.
Emmentaler is a cheese originally from Switzerland, though many other countries now make a cheese that they call like that.
"Swiss cheese" is supposed to be similar to Emmentaler (or inspired from it?). But the fact that Swiss Emmentaler counts as Swiss cheese does not mean that Swiss cheese counts as Emmentaler, or is from Switzerland at all.
The canton of Bern makes an absolutely excellent Emmantaler. It’s the original Swiss cheese as brought to America by 19th-century Swiss immigrants to Wisconsin.