Hello finnwulf,
Thanks for reaching out to us.
I have reviewed your query that once you excludes some delivery fields still its asking for the complete on checkout page.
This type of issue might be came once you have added any other plugin for the checkout fields validation or your theme is validate the checkout fields then, it might be not work.
So, can you please share your current theme name and plugin list which are activated?
You can also share the system log so, we can review your query in detail and get back to you for the same.
For the system log goto left menu Woocommerce -> Status -> System status -> Click on get system report button and just copy all and paste at last in this reply.
Let us know still you need any further assistance.
Thanks,