Similar with Reich but surprisingly there are still a couple of things starting with Reich, like the Parliament building is still called Reichstag even if there is no Reich no more.
Americans use National mostly when things are uncontroversially national and international. For mostly national and controversially international things they prefer World, like World Series, WCW, WFL.
"Reich" isn‘t a Nazi thing. The building was already called that decades earlier. It goes back to the last German emperor, and Reich actually means empire. The Roman Empire is also called Römisches Reich.
Other international sports leagues with teams in the USA include the National Basketball Association and the National Hockey Association.
Besides, putting "German" in your product name at the time (199x) actually was a savvy marketing move, especially if you are the first in a particular niche. There were lots of buyers who wanted to buy fully translated software back then, and the sticker "Software and Manual in German" probably is the most successful sale booster of the 80ies and 90ies in Germany.
This of course does not even touch the subject of localization issues, just to name 2 from the top of my hat:
[1]For years (maybe a decade?) Apple maps had issues if you tried to enter an address the "German" way: <Streetname> <Number> instead of <Number> <Streetname>.
[2]To this day websites ask me for "states" in my shipping address. Yes, Germany has states. We mostly dont care about them. No one puts the state in a shipping address. Shops, please stop getting annoyed when I dont know if you expect me to enter a 2-or 3-length string as abbreviation for my state (which you dont need for anything, anyway). VAT is a federal tax, therefore its not different from state to state.
American Express
British Telecom
Etc