German State coins are a complicated sub section of coins, often being hard to categorise as there are many references, not just Km. From what I can briefly see here the confusion lies in the Reverse, with circle or without, and how the one example you have seen should be in the opposite example because it doesn’t have a circle. I am not here to confirm or disprove your observations, but just to let you know you can edit the page yourself.
At the bottom under „contribute to the catalog“ there is an option - „modify or add data to this page“, here you can make changes which will be considered by one of the catalog referees for the German State coins. You must supply supporting evidence with your change, the referee will then view the case whilst reviewing other sources of reference before either modifying the page of leaving it as is.
This web site is community built and relies on everyone helping out. Welcome to Numista.
„If your reply or post in the Forum stinks of AI, I will call you out! Knowledge comes from experience, the I in AI stands for incompetence.“