Why am I seeing German shipping options in the CH market checkout?

We have an issue with the checkout for https://honest-catch.com/.

When we are in the CH-market then go to the checkout, enter an address, select a date and go to payment and then go back to the store and change the market to German market in the country selector and then go back to the checkout, we see the shipping options for Germany instead of CH and german prices.

This shouldn’t be possible - can anybody help?