Correct, I edited above (but you quoted too quickly).
It was formed "after" which is very key
, as at the time the name was referred also to be referred to "democratic" as-well
(remember Hitler was democratically elected)
"Deutsche" is taught in some history books, and "Democratic" is taught in others -> but regardless of the version history you want to look at, if that one word changes your views on Nazism and how people ate, then there is a bigger problem we need to address in this conversation