Would that mean I'll be getting more in dollars due to that having high value?
You posted the answer yourself.
Every central bank designs its own bills. The US chose to be boring, bland, and hostile to people with visual impairments. The reason why they won't change that in a hurry is because it would necessitate an expensive switch in vending machines to handle different size bills. They could change the color but greenback is their brand. European currencies have pretty much always had bills of different sizes.
The exchange rate of currencies depend on many things. Prices depend on many things. Comparing Swiss ones with American ones is almost pointless. Switzerland has high VAT rates (high taxes in general) and thus salary levels will be higher as well. Swiss tourist will go nuts spending stateside because everything will just be cheap to them. Because they won't finance social security, universal health care, or a bunker place for every citizen in case of thermonuclear war in the US. But they do in Switzerland.
Der mit dem Schlumpf tanzt.