Last time Germans put a National in front of an organization it did not go so well.
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.
> the Parliament building is still called Reichstag even if there is no Reich no more
"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.